WBJEE Mathematics Sample Paper III

Question 1

If C is the reflecton of A (2, 4) in x-axis and B is the reflection of C in y-axis, then |AB| is

Accepted Answer

Answer

20

Answer

Answer

4

Question 2

The value of cos15° cos

Accepted Answer

1/8

Answer

1/2

Answer

1/4

Answer

1/16

Question 3

The value of integral

Accepted Answer

2

Answer

1

Answer

0

Answer

&ndash; 1

Question 4

The line y = 2t² intersects the ellipse in real points if

Accepted Answer

Answer

Answer

Answer

Question 5

General solution of sin x + cosx =

Accepted Answer

Answer

Answer

Answer

Question 6

If A and B square matrices of the same order and AB = 3I, then A^–1 is equal to

Accepted Answer

Answer

3B

Answer

3B-1

Answer

Question 7

The co-ordinates of the focus of the parabola described parametrically by x = 5t² + 2, y = 10t + 4 are

Accepted Answer

(7, 4)

Answer

(3, 4)

Answer

(3, &ndash;4)

Answer

(&ndash;7, 4)

Question 8

For any two sets A and B, A – (A – B) equals

Accepted Answer

Answer

B

Answer

A &ndash; B

Answer

Question 9

If a = 2√2 , b = 6, A = 45º, then

Accepted Answer

no triangle is possible.

Answer

one triangle is possible.

Answer

two triangle are possible.

Answer

either no triangle or two triangles are possible.

Question 10

A Mapping from IN to IN is defined as follows :
f : IN o IN
f(n) = (n + 5)² , n ∈ IN
(IN is the set of natural numbers). Then

Accepted Answer

f is one-to-one but not onto

Answer

f is not one-to-one

Answer

f is onto

Answer

f is both one-to-one and onto

Question 11

In a triangle ABC if sin A sin then the triangle is

Accepted Answer

right angled

Answer

equilateral

Answer

isosceles

Answer

obtuse angled

Question 12

Accepted Answer

Answer

Answer

Answer

Question 13

The value of

Accepted Answer

3/16

Answer

3/8

Answer

3/4

Answer

1/2

Question 14

Accepted Answer

Answer

Answer

Answer

Question 15

A positive acute angle is divided into two parts whose tangents are and . Then the angle is

Accepted Answer

&pi;/4

Answer

&pi;/5

Answer

&pi;/3

Answer

&pi;/6

Question 16

If <img src="https://cn.edurev.in/ApplicationImages/Temp/a2a3aa1e-b10a-4b57-b89e-0e215ee25163_lg.jpg" />

Accepted Answer

Answer

Answer

Answer

Question 17

The value of

Accepted Answer

&pi;/60

Answer

&pi;/20

Answer

&pi;/40

Answer

&pi;/80

Question 18

&#8203;<img src="https://cn.edurev.in/ApplicationImages/Temp/5bc0c70e-cd88-414c-b378-ca6b1fb23cff_lg.jpg" />

Accepted Answer

I₁ < I₂

Answer

I₁ = I₂

Answer

I₁ > I₂

Answer

I₂ = I₁ + π/4

Question 19

The second order derivative of a sin³t with respect to a cos³t at

Accepted Answer

Answer

2

Answer

Answer

Question 20

The smallest value of 5 cos θ + 12 is

Accepted Answer

7

Answer

5

Answer

12

Answer

17

Question 21

The general solution of the differential equation

Accepted Answer

e^–y = e^–x– e^x + c

Answer

e^–y = e^x – e^–x + c

Answer

e^–y = e^x+ e^–x + c

Answer

e^y = e^x + e^–x + c

Question 22

Product of any r consecutive natural numbers is always divisible by

Accepted Answer

r !

Answer

(r + 4) !

Answer

(r + 1) !

Answer

(r + 2) !

Question 23

The integrating factor of the differential equation is given by

Accepted Answer

log x

Answer

ex

Answer

log (log x)

Answer

x

Question 24

If x² + y² = 1 then

Accepted Answer

Answer

Answer

Answer

Question 25

If c₀ , c₁ , c₂ , ..................., c_n denote the co-efficients in the expansion of (1 + x)ⁿ then the value of c₁ + 2c₂ + 3c₃ + ..... + nc_n is

Accepted Answer

n.2n&ndash;1

Answer

(n + 1)2^{n – 1}

Answer

(n + 1) 2ⁿ

Answer

(n + 2) 2^{n – 1}

Question 26

A polygon has 44 diagonals. The number of its sides is

Accepted Answer

11

Answer

10

Answer

12

Answer

13

Question 27

If α,β be the roots of x² – a(x – 1) + b = 0, then the value of

Accepted Answer

0

Answer

Answer

Answer

- 1

Question 28

The angle between the lines joining the foci of an ellipse to one particular extremity of the minor axis is 90º. The eccentricity of the ellipse is

Accepted Answer

Answer

Answer

Answer

Question 29

The order of the differential equation

Accepted Answer

2

Answer

3

Answer

1

Answer

4

Question 30

The sum of all real roots of the equation |x – 2|² + |x – 2| – 2 = 0

Accepted Answer

4

Answer

7

Answer

1

Answer

5

WBJEE Sample Papers, Section Wise & Full Mathematics Paper III Free Online

MCQ Practice Test & Solutions: WBJEE Mathematics Sample Paper III (80 Questions)

If C is the reflecton of A (2, 4) in x-axis and B is the reflection of C in y-axis, then |AB| is

The value of cos15° cos

The value of integral

The line y = 2t² intersects the ellipse in real points if

General solution of sin x + cosx =

If A and B square matrices of the same order and AB = 3I, then A^–1 is equal to

The co-ordinates of the focus of the parabola described parametrically by x = 5t² + 2, y = 10t + 4 are

For any two sets A and B, A – (A – B) equals

If a = 2√2 , b = 6, A = 45º, then

A Mapping from IN to IN is defined as follows :
f : IN o IN
f(n) = (n + 5)² , n ∈ IN
(IN is the set of natural numbers). Then

In a triangle ABC if sin A sin then the triangle is

The value of

A positive acute angle is divided into two parts whose tangents are and . Then the angle is

If

The value of

The second order derivative of a sin³t with respect to a cos³t at

The smallest value of 5 cos θ + 12 is

The general solution of the differential equation

Product of any r consecutive natural numbers is always divisible by

The integrating factor of the differential equation is given by

If x² + y² = 1 then

If c₀ , c₁ , c₂ , ..................., c_n denote the co-efficients in the expansion of (1 + x)ⁿ then the value of c₁ + 2c₂ + 3c₃ + ..... + nc_n is

A polygon has 44 diagonals. The number of its sides is

If α,β be the roots of x² – a(x – 1) + b = 0, then the value of

The angle between the lines joining the foci of an ellipse to one particular extremity of the minor axis is 90º. The eccentricity of the ellipse is

The order of the differential equation

The sum of all real roots of the equation |x – 2|² + |x – 2| – 2 = 0

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

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WBJEE Sample Papers, Section Wise & Full Mathematics Paper III Free Online

MCQ Practice Test & Solutions: WBJEE Mathematics Sample Paper III (80 Questions)

If C is the reflecton of A (2, 4) in x-axis and B is the reflection of C in y-axis, then |AB| is

The value of cos15° cos

The value of integral

The line y = 2t2 intersects the ellipse in real points if

General solution of sin x + cosx =

If A and B square matrices of the same order and AB = 3I, then A–1 is equal to

The co-ordinates of the focus of the parabola described parametrically by x = 5t2 + 2, y = 10t + 4 are

For any two sets A and B, A – (A – B) equals

If a = 2√2 , b = 6, A = 45º, then

A Mapping from IN to IN is defined as follows : f : IN o IN f(n) = (n + 5)2 , n ∈ IN (IN is the set of natural numbers). Then

In a triangle ABC if sin A sin then the triangle is

The value of

A positive acute angle is divided into two parts whose tangents are and . Then the angle is

If

The value of

​

The second order derivative of a sin3t with respect to a cos3t at

The smallest value of 5 cos θ + 12 is

The general solution of the differential equation

Product of any r consecutive natural numbers is always divisible by

The integrating factor of the differential equation is given by

If x2 + y2 = 1 then

If c0 , c1 , c2 , ..................., cn denote the co-efficients in the expansion of (1 + x)n then the value of c1 + 2c2 + 3c3 + ..... + ncn is

A polygon has 44 diagonals. The number of its sides is

If α,β be the roots of x2 – a(x – 1) + b = 0, then the value of

The angle between the lines joining the foci of an ellipse to one particular extremity of the minor axis is 90º. The eccentricity of the ellipse is

The order of the differential equation

The sum of all real roots of the equation |x – 2|2 + |x – 2| – 2 = 0

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

WBJEE Sample Papers, Section Wise & Full Mock Tests 2026

Top Courses for JEE

About this JEE Practice Test

Explore more JEE Study Resources

The line y = 2t² intersects the ellipse in real points if

If A and B square matrices of the same order and AB = 3I, then A^–1 is equal to

The co-ordinates of the focus of the parabola described parametrically by x = 5t² + 2, y = 10t + 4 are

A Mapping from IN to IN is defined as follows :
f : IN o IN
f(n) = (n + 5)² , n ∈ IN
(IN is the set of natural numbers). Then

The second order derivative of a sin³t with respect to a cos³t at

If x² + y² = 1 then

If c₀ , c₁ , c₂ , ..................., c_n denote the co-efficients in the expansion of (1 + x)ⁿ then the value of c₁ + 2c₂ + 3c₃ + ..... + nc_n is

If α,β be the roots of x² – a(x – 1) + b = 0, then the value of

The sum of all real roots of the equation |x – 2|² + |x – 2| – 2 = 0