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CBSE Board Paper 2020
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Page 1
General Instructions:
Read the following instructions very carefully and strictly follow them:
(i) This question paper comprises four Sections A, B, C and D. This question paper carries 36 questions.
All questions are compulsory.
(ii) Section A – Questions no. 1 to 20 comprises of 20 questions of 1 mark each.
(iii) Section B – Questions no. 21 to 26 comprises of 6 questions of 2 mark each.
(iv) Section C – Questions no. 27 to 32 comprises of 6 questions of 4 mark each.
(v) Section D – Questions no. 33 to 36 comprises of 4 questions of 6 mark each.
(vi) There is no overall choice in the question paper. However, an internal choice has been provided in 3
questions of one mark, 2 questions of two marks, 2 questions of four marks and 2 questions of six
marks. Only one of the choices in such questions have to be attempted.
(vii) In addition to this, separate instructions are given with each section and question, wherever necessary.
(viii) Use of calculators is not permitted.
SECTION - A
Question numbers 1 to 20 carry 1 mark each.
Question numbers 1 to 10 are multiple choice type questions. Select the correct option.
1. If f and g are two functions from R to R defined as ( ) f x x x =+ and ( ) , g x x x =- then ( ) fog x for
0 x ? is
(a) 4x (b) 2x (c) 0 (d) 4x -
2. The principal value of
( )
1
cot 3
-
- is
(a)
6
?
- (b)
6
?
(c)
2
3
?
(d)
5
6
?
3. If
2 0 0
0 2 0 ,
0 0 2
A
-??
??
=-
??
?? -
??
then the value of adj A is
(a) 64 (b) 16 (c) 0 (d) -8
4. The maximum value of slope of the curve
32
3 12 5 y x x x = - + + - is
(a) 15 (b) 12 (c) 9 (d) 0
5.
( )
( )
2
1
cos
x
x
ex
xe dx
+
?
is equal to
CBSE Class 12 Maths Question Paper 2020
Set 2
Page 2
General Instructions:
Read the following instructions very carefully and strictly follow them:
(i) This question paper comprises four Sections A, B, C and D. This question paper carries 36 questions.
All questions are compulsory.
(ii) Section A – Questions no. 1 to 20 comprises of 20 questions of 1 mark each.
(iii) Section B – Questions no. 21 to 26 comprises of 6 questions of 2 mark each.
(iv) Section C – Questions no. 27 to 32 comprises of 6 questions of 4 mark each.
(v) Section D – Questions no. 33 to 36 comprises of 4 questions of 6 mark each.
(vi) There is no overall choice in the question paper. However, an internal choice has been provided in 3
questions of one mark, 2 questions of two marks, 2 questions of four marks and 2 questions of six
marks. Only one of the choices in such questions have to be attempted.
(vii) In addition to this, separate instructions are given with each section and question, wherever necessary.
(viii) Use of calculators is not permitted.
SECTION - A
Question numbers 1 to 20 carry 1 mark each.
Question numbers 1 to 10 are multiple choice type questions. Select the correct option.
1. If f and g are two functions from R to R defined as ( ) f x x x =+ and ( ) , g x x x =- then ( ) fog x for
0 x ? is
(a) 4x (b) 2x (c) 0 (d) 4x -
2. The principal value of
( )
1
cot 3
-
- is
(a)
6
?
- (b)
6
?
(c)
2
3
?
(d)
5
6
?
3. If
2 0 0
0 2 0 ,
0 0 2
A
-??
??
=-
??
?? -
??
then the value of adj A is
(a) 64 (b) 16 (c) 0 (d) -8
4. The maximum value of slope of the curve
32
3 12 5 y x x x = - + + - is
(a) 15 (b) 12 (c) 9 (d) 0
5.
( )
( )
2
1
cos
x
x
ex
xe dx
+
?
is equal to
CBSE Class 12 Maths Question Paper 2020
Set 2
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
(a)
( )
tan
x
xe c + (b)
( )
cot
x
xe c + (c)
( )
cot
x
ec + (d) ( ) tan 1
x
e x c ?? ++
??
6. The degree of the differential equation
3
2
2
2
d y dy
x x y
dx dx
??
=-
??
??
is
(a) 1 (b) 2 (c) 3 (d) 6
7. The value of p for which
( )
ˆ ˆˆ
p i j k ++ is a unit vector is
(a) 0 (b)
1
3
(c) 1 (d) 3
8. The coordinates of the foot of the perpendicular drawn from the point ( ) 2,8,7 - on the ZX-plane is
(a) ( ) 2, 8,7 -- (b) ( ) 2,8, 7 - (c) ( ) 2,0,7 - (d) ( ) 0,8,0
9. The vector equation of XY-plane is
(a)
ˆ
.0 rk = (b)
ˆ
.0 rj = (c)
ˆ
.0 ri = (d) .1 rn =
10. The feasible region for an LPP is shown below:
Let 34 z x y =- be the objective function. Minimum of z occurs at
(a) ( ) 0,0 (b) ( ) 0,8 (c) ( ) 5,0 (d) ( ) 4,10
Fill in the blanks in question numbers 11 to 15.
11. If
11
tan cot , , y x x x R
--
= + ? then
dy
dx
is equal to __________.
(OR)
If ( ) cos , xy k = where k is a constant and ,, xy n n Z ? ?? then
dy
dx
is equal to __________.
Page 3
General Instructions:
Read the following instructions very carefully and strictly follow them:
(i) This question paper comprises four Sections A, B, C and D. This question paper carries 36 questions.
All questions are compulsory.
(ii) Section A – Questions no. 1 to 20 comprises of 20 questions of 1 mark each.
(iii) Section B – Questions no. 21 to 26 comprises of 6 questions of 2 mark each.
(iv) Section C – Questions no. 27 to 32 comprises of 6 questions of 4 mark each.
(v) Section D – Questions no. 33 to 36 comprises of 4 questions of 6 mark each.
(vi) There is no overall choice in the question paper. However, an internal choice has been provided in 3
questions of one mark, 2 questions of two marks, 2 questions of four marks and 2 questions of six
marks. Only one of the choices in such questions have to be attempted.
(vii) In addition to this, separate instructions are given with each section and question, wherever necessary.
(viii) Use of calculators is not permitted.
SECTION - A
Question numbers 1 to 20 carry 1 mark each.
Question numbers 1 to 10 are multiple choice type questions. Select the correct option.
1. If f and g are two functions from R to R defined as ( ) f x x x =+ and ( ) , g x x x =- then ( ) fog x for
0 x ? is
(a) 4x (b) 2x (c) 0 (d) 4x -
2. The principal value of
( )
1
cot 3
-
- is
(a)
6
?
- (b)
6
?
(c)
2
3
?
(d)
5
6
?
3. If
2 0 0
0 2 0 ,
0 0 2
A
-??
??
=-
??
?? -
??
then the value of adj A is
(a) 64 (b) 16 (c) 0 (d) -8
4. The maximum value of slope of the curve
32
3 12 5 y x x x = - + + - is
(a) 15 (b) 12 (c) 9 (d) 0
5.
( )
( )
2
1
cos
x
x
ex
xe dx
+
?
is equal to
CBSE Class 12 Maths Question Paper 2020
Set 2
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
(a)
( )
tan
x
xe c + (b)
( )
cot
x
xe c + (c)
( )
cot
x
ec + (d) ( ) tan 1
x
e x c ?? ++
??
6. The degree of the differential equation
3
2
2
2
d y dy
x x y
dx dx
??
=-
??
??
is
(a) 1 (b) 2 (c) 3 (d) 6
7. The value of p for which
( )
ˆ ˆˆ
p i j k ++ is a unit vector is
(a) 0 (b)
1
3
(c) 1 (d) 3
8. The coordinates of the foot of the perpendicular drawn from the point ( ) 2,8,7 - on the ZX-plane is
(a) ( ) 2, 8,7 -- (b) ( ) 2,8, 7 - (c) ( ) 2,0,7 - (d) ( ) 0,8,0
9. The vector equation of XY-plane is
(a)
ˆ
.0 rk = (b)
ˆ
.0 rj = (c)
ˆ
.0 ri = (d) .1 rn =
10. The feasible region for an LPP is shown below:
Let 34 z x y =- be the objective function. Minimum of z occurs at
(a) ( ) 0,0 (b) ( ) 0,8 (c) ( ) 5,0 (d) ( ) 4,10
Fill in the blanks in question numbers 11 to 15.
11. If
11
tan cot , , y x x x R
--
= + ? then
dy
dx
is equal to __________.
(OR)
If ( ) cos , xy k = where k is a constant and ,, xy n n Z ? ?? then
dy
dx
is equal to __________.
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
12. The value of ? so that the function f defined by ( )
,
cos ,
x if x
fx
x if x
??
?
? ?
=
?
?
?
is continuous at x ? = is
__________.
13. The equation of the tangent to the curve sec yx = at the point (0, 1) is __________.
14. The area of the parallelogram whose diagonals are
ˆ
2i and
ˆ
3k - is __________ square units.
(OR)
The value of ? for which the vectors
ˆ ˆˆ
2i j k ? -+ and
ˆ ˆ
2 i j k +- are orthogonal is __________.
15. A bag contains 3 black, 4 red and 2 green balls. If three balls are drawn simultaneously at random, then the
probability that the balls are of different colours is _________.
Question numbers 16 to 20 are very short answer type questions.
16. Construct 22 a ? matrix
ij
Aa ?? =
??
whose elements are given by ( )
2
.
ij
a i j =-
17. Differentiate
( )
2
sin x with respect to . x
18. Find the interval in which the function f given by ( )
2
74 f x x x = - - is strictly increasing.
19. Evaluate:
2
2
x dx
-
?
(OR)
Find:
2
34
dx
x +
?
20. An unbiased coin is tossed 4 times. Find the probability of getting at least one head.
SECTION - B
Question numbers 21 to 26 carry 2 marks each.
21. Solve for : x
11
sin 4 sin 3
2
xx
?
--
+ = -
(OR)
Express
1
cos 3
tan ,
1 sin 2 2
x
x
x
??
-
??
- ? ?
??
-
??
in the simplest form.
22. Express
43
21
A
- ??
=
??
-
??
as a sum of a symmetric and a skew symmetric matrix.
Page 4
General Instructions:
Read the following instructions very carefully and strictly follow them:
(i) This question paper comprises four Sections A, B, C and D. This question paper carries 36 questions.
All questions are compulsory.
(ii) Section A – Questions no. 1 to 20 comprises of 20 questions of 1 mark each.
(iii) Section B – Questions no. 21 to 26 comprises of 6 questions of 2 mark each.
(iv) Section C – Questions no. 27 to 32 comprises of 6 questions of 4 mark each.
(v) Section D – Questions no. 33 to 36 comprises of 4 questions of 6 mark each.
(vi) There is no overall choice in the question paper. However, an internal choice has been provided in 3
questions of one mark, 2 questions of two marks, 2 questions of four marks and 2 questions of six
marks. Only one of the choices in such questions have to be attempted.
(vii) In addition to this, separate instructions are given with each section and question, wherever necessary.
(viii) Use of calculators is not permitted.
SECTION - A
Question numbers 1 to 20 carry 1 mark each.
Question numbers 1 to 10 are multiple choice type questions. Select the correct option.
1. If f and g are two functions from R to R defined as ( ) f x x x =+ and ( ) , g x x x =- then ( ) fog x for
0 x ? is
(a) 4x (b) 2x (c) 0 (d) 4x -
2. The principal value of
( )
1
cot 3
-
- is
(a)
6
?
- (b)
6
?
(c)
2
3
?
(d)
5
6
?
3. If
2 0 0
0 2 0 ,
0 0 2
A
-??
??
=-
??
?? -
??
then the value of adj A is
(a) 64 (b) 16 (c) 0 (d) -8
4. The maximum value of slope of the curve
32
3 12 5 y x x x = - + + - is
(a) 15 (b) 12 (c) 9 (d) 0
5.
( )
( )
2
1
cos
x
x
ex
xe dx
+
?
is equal to
CBSE Class 12 Maths Question Paper 2020
Set 2
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
(a)
( )
tan
x
xe c + (b)
( )
cot
x
xe c + (c)
( )
cot
x
ec + (d) ( ) tan 1
x
e x c ?? ++
??
6. The degree of the differential equation
3
2
2
2
d y dy
x x y
dx dx
??
=-
??
??
is
(a) 1 (b) 2 (c) 3 (d) 6
7. The value of p for which
( )
ˆ ˆˆ
p i j k ++ is a unit vector is
(a) 0 (b)
1
3
(c) 1 (d) 3
8. The coordinates of the foot of the perpendicular drawn from the point ( ) 2,8,7 - on the ZX-plane is
(a) ( ) 2, 8,7 -- (b) ( ) 2,8, 7 - (c) ( ) 2,0,7 - (d) ( ) 0,8,0
9. The vector equation of XY-plane is
(a)
ˆ
.0 rk = (b)
ˆ
.0 rj = (c)
ˆ
.0 ri = (d) .1 rn =
10. The feasible region for an LPP is shown below:
Let 34 z x y =- be the objective function. Minimum of z occurs at
(a) ( ) 0,0 (b) ( ) 0,8 (c) ( ) 5,0 (d) ( ) 4,10
Fill in the blanks in question numbers 11 to 15.
11. If
11
tan cot , , y x x x R
--
= + ? then
dy
dx
is equal to __________.
(OR)
If ( ) cos , xy k = where k is a constant and ,, xy n n Z ? ?? then
dy
dx
is equal to __________.
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
12. The value of ? so that the function f defined by ( )
,
cos ,
x if x
fx
x if x
??
?
? ?
=
?
?
?
is continuous at x ? = is
__________.
13. The equation of the tangent to the curve sec yx = at the point (0, 1) is __________.
14. The area of the parallelogram whose diagonals are
ˆ
2i and
ˆ
3k - is __________ square units.
(OR)
The value of ? for which the vectors
ˆ ˆˆ
2i j k ? -+ and
ˆ ˆ
2 i j k +- are orthogonal is __________.
15. A bag contains 3 black, 4 red and 2 green balls. If three balls are drawn simultaneously at random, then the
probability that the balls are of different colours is _________.
Question numbers 16 to 20 are very short answer type questions.
16. Construct 22 a ? matrix
ij
Aa ?? =
??
whose elements are given by ( )
2
.
ij
a i j =-
17. Differentiate
( )
2
sin x with respect to . x
18. Find the interval in which the function f given by ( )
2
74 f x x x = - - is strictly increasing.
19. Evaluate:
2
2
x dx
-
?
(OR)
Find:
2
34
dx
x +
?
20. An unbiased coin is tossed 4 times. Find the probability of getting at least one head.
SECTION - B
Question numbers 21 to 26 carry 2 marks each.
21. Solve for : x
11
sin 4 sin 3
2
xx
?
--
+ = -
(OR)
Express
1
cos 3
tan ,
1 sin 2 2
x
x
x
??
-
??
- ? ?
??
-
??
in the simplest form.
22. Express
43
21
A
- ??
=
??
-
??
as a sum of a symmetric and a skew symmetric matrix.
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
23. If
22
1
cos , ya
x
??
=
??
??
then find .
dy
dx
24. Show that for any two non-zero vectors a and , b a b a b + = - if a and b are perpendicular vectors.
(OR)
Show that the vectors
ˆˆ ˆ ˆ ˆ ˆ
2 , 3 7 i j k i j k - + + + and
ˆ ˆˆ
5 6 1 i j k ++ form the sides of a right-angled triangle.
25. Find the coordinates of the point where the line through (-1, 1, -8) and (5, -2, 10) crosses the ZX-plane.
26. If A and B are two events such that ( ) ( ) 0.4, 0.3 P A P B == and ( ) 0.6, P A B ?= then find ( ) '. P B A ?
SECTION - C
Question numbers 27 to 32 carry 4 marks each.
27. Show that the function ( ) ( ) : ,0 1,0 f - ? ? - defined by ( ) ( ) , ,0
1
x
f x x
x
= ? - ?
+
is one-one and onto.
(OR)
Show that the reaction R in the set ? ? 1,2,3,4,5,6 A = given by ( ) ? ?
, : 2 R a b a b isdivisibleby =- is an
equivalence relation.
28. If ( )
31
cos sin ,
x
y x x x
-
=+ find .
dy
dx
29. Evaluate:
( )
5
1
15 x x x dx
-
+ + + -
?
30. Find the general solution of the differential equation
( )
2 3 3
0. x y dx x y dy - + =
31. Solve the following LPP graphically:
Minimize 57 z x y =+
subject to the constraints
28 xy +?
2 10 xy +?
,0 xy ?
32. A bag contains two coins, one biased and the other unbiased. When tossed, the biased coin has a 60% chance of
showing heads. One of the coin is selected at random and on tossing it shows tails. What is the probability it
was an unbiased coin?
Page 5
General Instructions:
Read the following instructions very carefully and strictly follow them:
(i) This question paper comprises four Sections A, B, C and D. This question paper carries 36 questions.
All questions are compulsory.
(ii) Section A – Questions no. 1 to 20 comprises of 20 questions of 1 mark each.
(iii) Section B – Questions no. 21 to 26 comprises of 6 questions of 2 mark each.
(iv) Section C – Questions no. 27 to 32 comprises of 6 questions of 4 mark each.
(v) Section D – Questions no. 33 to 36 comprises of 4 questions of 6 mark each.
(vi) There is no overall choice in the question paper. However, an internal choice has been provided in 3
questions of one mark, 2 questions of two marks, 2 questions of four marks and 2 questions of six
marks. Only one of the choices in such questions have to be attempted.
(vii) In addition to this, separate instructions are given with each section and question, wherever necessary.
(viii) Use of calculators is not permitted.
SECTION - A
Question numbers 1 to 20 carry 1 mark each.
Question numbers 1 to 10 are multiple choice type questions. Select the correct option.
1. If f and g are two functions from R to R defined as ( ) f x x x =+ and ( ) , g x x x =- then ( ) fog x for
0 x ? is
(a) 4x (b) 2x (c) 0 (d) 4x -
2. The principal value of
( )
1
cot 3
-
- is
(a)
6
?
- (b)
6
?
(c)
2
3
?
(d)
5
6
?
3. If
2 0 0
0 2 0 ,
0 0 2
A
-??
??
=-
??
?? -
??
then the value of adj A is
(a) 64 (b) 16 (c) 0 (d) -8
4. The maximum value of slope of the curve
32
3 12 5 y x x x = - + + - is
(a) 15 (b) 12 (c) 9 (d) 0
5.
( )
( )
2
1
cos
x
x
ex
xe dx
+
?
is equal to
CBSE Class 12 Maths Question Paper 2020
Set 2
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
(a)
( )
tan
x
xe c + (b)
( )
cot
x
xe c + (c)
( )
cot
x
ec + (d) ( ) tan 1
x
e x c ?? ++
??
6. The degree of the differential equation
3
2
2
2
d y dy
x x y
dx dx
??
=-
??
??
is
(a) 1 (b) 2 (c) 3 (d) 6
7. The value of p for which
( )
ˆ ˆˆ
p i j k ++ is a unit vector is
(a) 0 (b)
1
3
(c) 1 (d) 3
8. The coordinates of the foot of the perpendicular drawn from the point ( ) 2,8,7 - on the ZX-plane is
(a) ( ) 2, 8,7 -- (b) ( ) 2,8, 7 - (c) ( ) 2,0,7 - (d) ( ) 0,8,0
9. The vector equation of XY-plane is
(a)
ˆ
.0 rk = (b)
ˆ
.0 rj = (c)
ˆ
.0 ri = (d) .1 rn =
10. The feasible region for an LPP is shown below:
Let 34 z x y =- be the objective function. Minimum of z occurs at
(a) ( ) 0,0 (b) ( ) 0,8 (c) ( ) 5,0 (d) ( ) 4,10
Fill in the blanks in question numbers 11 to 15.
11. If
11
tan cot , , y x x x R
--
= + ? then
dy
dx
is equal to __________.
(OR)
If ( ) cos , xy k = where k is a constant and ,, xy n n Z ? ?? then
dy
dx
is equal to __________.
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
12. The value of ? so that the function f defined by ( )
,
cos ,
x if x
fx
x if x
??
?
? ?
=
?
?
?
is continuous at x ? = is
__________.
13. The equation of the tangent to the curve sec yx = at the point (0, 1) is __________.
14. The area of the parallelogram whose diagonals are
ˆ
2i and
ˆ
3k - is __________ square units.
(OR)
The value of ? for which the vectors
ˆ ˆˆ
2i j k ? -+ and
ˆ ˆ
2 i j k +- are orthogonal is __________.
15. A bag contains 3 black, 4 red and 2 green balls. If three balls are drawn simultaneously at random, then the
probability that the balls are of different colours is _________.
Question numbers 16 to 20 are very short answer type questions.
16. Construct 22 a ? matrix
ij
Aa ?? =
??
whose elements are given by ( )
2
.
ij
a i j =-
17. Differentiate
( )
2
sin x with respect to . x
18. Find the interval in which the function f given by ( )
2
74 f x x x = - - is strictly increasing.
19. Evaluate:
2
2
x dx
-
?
(OR)
Find:
2
34
dx
x +
?
20. An unbiased coin is tossed 4 times. Find the probability of getting at least one head.
SECTION - B
Question numbers 21 to 26 carry 2 marks each.
21. Solve for : x
11
sin 4 sin 3
2
xx
?
--
+ = -
(OR)
Express
1
cos 3
tan ,
1 sin 2 2
x
x
x
??
-
??
- ? ?
??
-
??
in the simplest form.
22. Express
43
21
A
- ??
=
??
-
??
as a sum of a symmetric and a skew symmetric matrix.
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
23. If
22
1
cos , ya
x
??
=
??
??
then find .
dy
dx
24. Show that for any two non-zero vectors a and , b a b a b + = - if a and b are perpendicular vectors.
(OR)
Show that the vectors
ˆˆ ˆ ˆ ˆ ˆ
2 , 3 7 i j k i j k - + + + and
ˆ ˆˆ
5 6 1 i j k ++ form the sides of a right-angled triangle.
25. Find the coordinates of the point where the line through (-1, 1, -8) and (5, -2, 10) crosses the ZX-plane.
26. If A and B are two events such that ( ) ( ) 0.4, 0.3 P A P B == and ( ) 0.6, P A B ?= then find ( ) '. P B A ?
SECTION - C
Question numbers 27 to 32 carry 4 marks each.
27. Show that the function ( ) ( ) : ,0 1,0 f - ? ? - defined by ( ) ( ) , ,0
1
x
f x x
x
= ? - ?
+
is one-one and onto.
(OR)
Show that the reaction R in the set ? ? 1,2,3,4,5,6 A = given by ( ) ? ?
, : 2 R a b a b isdivisibleby =- is an
equivalence relation.
28. If ( )
31
cos sin ,
x
y x x x
-
=+ find .
dy
dx
29. Evaluate:
( )
5
1
15 x x x dx
-
+ + + -
?
30. Find the general solution of the differential equation
( )
2 3 3
0. x y dx x y dy - + =
31. Solve the following LPP graphically:
Minimize 57 z x y =+
subject to the constraints
28 xy +?
2 10 xy +?
,0 xy ?
32. A bag contains two coins, one biased and the other unbiased. When tossed, the biased coin has a 60% chance of
showing heads. One of the coin is selected at random and on tossing it shows tails. What is the probability it
was an unbiased coin?
DATE: SUBJECT
CLASS:
CENTRE: TOPIC
(OR)
The probability distribution of a random variable X, where k is a constant is given below:
( )
2
0.1 0
,1
, 2 3
0,
if x
kx if x
P X x
kx if x or
otherwise
= ?
?
=
?
==
?
=
?
?
?
Determine
(a) the value of k
(b) ( ) 2 PX ?
(c) Mean of the distribution
SECTION - D
Question numbers 33 to 36 carry 6 marks each.
33. Solve the following system of equations by matrix method:
27 x y z - + =
2 3 12 x y z - + =
3 2 5 x y z + - =
(OR)
Obtain the inverse of the following matrix using elementary operations:
2 1 3
1 1 4
3 0 2
A
- ??
??
= - -
??
??
??
34. Find the points on the curve
23
9, yx = where the normal to the curve makes equal intercepts with both the
axes. Also find the equation of the normals.
35. Find the area of the following region using integration: ( )
?
2
, : 2, x y y x y x ? + ?
(OR)
Using integration, find the area of a triangle whose vertices are ( ) ( ) 1,0 , 2,2 and ( ) 3,1 .
36. Show that the lines
2 2 3
1 3 1
x y z - - -
== and
2 3 4
1 4 2
x y z - - -
== intersect. Also, find the coordinates of
the point of intersection. Find the equation of the plane containing the two lines.
Read MoreFAQs on CBSE Board Paper 2020
| 1. What is the CBSE Board? |  |
Ans. The Central Board of Secondary Education (CBSE) is a national level board of education in India, responsible for conducting examinations and overseeing the curriculum for schools affiliated with it. It was established in 1962 and is known for its role in standardising education across the country.
| 2. What is the significance of the JEE exam? | |
Ans. The Joint Entrance Examination (JEE) is an entrance test used for admission to various undergraduate engineering programmes in India. It is considered one of the most competitive exams and plays a crucial role in selecting candidates for prestigious institutions such as the Indian Institutes of Technology (IITs) and National Institutes of Technology (NITs).
| 3. How is the JEE exam structured? | |
Ans. The JEE exam is divided into two main parts: JEE Main and JEE Advanced. JEE Main consists of multiple-choice questions and numerical problems from Physics, Chemistry, and Mathematics, while JEE Advanced is more challenging and includes questions that test problem-solving abilities and conceptual understanding.
| 4. What subjects are covered in the CBSE Board examinations? | |
Ans. The CBSE Board examinations cover a range of subjects including Mathematics, Science (Physics, Chemistry, Biology), Social Science, English, and various elective subjects. The curriculum is designed to provide a comprehensive education and prepare students for higher studies and competitive examinations.
| 5. What are the recent changes in the examination pattern of the CBSE Board? | |
Ans. Recent changes in the CBSE examination pattern include the introduction of internal assessment and project work, as well as a shift towards competency-based questions that assess analytical skills and application of knowledge. These changes aim to enhance the learning experience and better prepare students for future challenges.
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