Inverse Trigonometric Functions Practice Questions - DPP for JEE

 Page 1


PART-I (Single Correct MCQs)
1. sin
–1
(sin 5) > x
2
 – 4x holds if
(a)
(b)
(c)
(d)
2. The value of
 is
(a) 0    if 
(b) p, if  
(c) both (a) and (b)
(d) None of these
Page 2


PART-I (Single Correct MCQs)
1. sin
–1
(sin 5) > x
2
 – 4x holds if
(a)
(b)
(c)
(d)
2. The value of
 is
(a) 0    if 
(b) p, if  
(c) both (a) and (b)
(d) None of these
3. If , then
(a)
(b)
(c)
(d) None of these
4. If  where xy < 1, then
(a) x – y – xy = 1
(b) x – y + xy = 1
(c) x + y – xy = 1
(d) x + y + xy = 1
5. The range of the function
f (x) (where [.] denotes the greatest integer
function) is
(a) R
(b) [1, 2)
(c)
(d) {– sin 1}
6. If is an A.P. with common difference d; ( d > 0) then
 is equal to
Page 3


PART-I (Single Correct MCQs)
1. sin
–1
(sin 5) > x
2
 – 4x holds if
(a)
(b)
(c)
(d)
2. The value of
 is
(a) 0    if 
(b) p, if  
(c) both (a) and (b)
(d) None of these
3. If , then
(a)
(b)
(c)
(d) None of these
4. If  where xy < 1, then
(a) x – y – xy = 1
(b) x – y + xy = 1
(c) x + y – xy = 1
(d) x + y + xy = 1
5. The range of the function
f (x) (where [.] denotes the greatest integer
function) is
(a) R
(b) [1, 2)
(c)
(d) {– sin 1}
6. If is an A.P. with common difference d; ( d > 0) then
 is equal to
(a)
(b)
(c)
(d)
7. The sum of the infinite series
cot
–1
 2 + cot
–1
 8 + cot
–1
 18 + cot
–1
 32 + .... is
(a) p
(b)
(c)
(d) None of these
8. If cos
–1
x + cos
–1
 y = , then the value sin
–1
x + sin
–1
 y is equal to
(a)
(b)
(c)
(d)
9. The value of
 (0 < x < ) is
(a)
Page 4


PART-I (Single Correct MCQs)
1. sin
–1
(sin 5) > x
2
 – 4x holds if
(a)
(b)
(c)
(d)
2. The value of
 is
(a) 0    if 
(b) p, if  
(c) both (a) and (b)
(d) None of these
3. If , then
(a)
(b)
(c)
(d) None of these
4. If  where xy < 1, then
(a) x – y – xy = 1
(b) x – y + xy = 1
(c) x + y – xy = 1
(d) x + y + xy = 1
5. The range of the function
f (x) (where [.] denotes the greatest integer
function) is
(a) R
(b) [1, 2)
(c)
(d) {– sin 1}
6. If is an A.P. with common difference d; ( d > 0) then
 is equal to
(a)
(b)
(c)
(d)
7. The sum of the infinite series
cot
–1
 2 + cot
–1
 8 + cot
–1
 18 + cot
–1
 32 + .... is
(a) p
(b)
(c)
(d) None of these
8. If cos
–1
x + cos
–1
 y = , then the value sin
–1
x + sin
–1
 y is equal to
(a)
(b)
(c)
(d)
9. The value of
 (0 < x < ) is
(a)
(b)
(c)
(d)
10. If sin
–1 
a + sin
–1
b + sin
–1
c = p, then find the value of
.
(a) abc
(b) a + b + c
(c)
(d) 2abc
11.
, then :
(a)
(b)
(c)
(d)
12. = ............
(a)
(b)
(c)
(d) None of these
13. If 0 < a < b < c, then
Page 5


PART-I (Single Correct MCQs)
1. sin
–1
(sin 5) > x
2
 – 4x holds if
(a)
(b)
(c)
(d)
2. The value of
 is
(a) 0    if 
(b) p, if  
(c) both (a) and (b)
(d) None of these
3. If , then
(a)
(b)
(c)
(d) None of these
4. If  where xy < 1, then
(a) x – y – xy = 1
(b) x – y + xy = 1
(c) x + y – xy = 1
(d) x + y + xy = 1
5. The range of the function
f (x) (where [.] denotes the greatest integer
function) is
(a) R
(b) [1, 2)
(c)
(d) {– sin 1}
6. If is an A.P. with common difference d; ( d > 0) then
 is equal to
(a)
(b)
(c)
(d)
7. The sum of the infinite series
cot
–1
 2 + cot
–1
 8 + cot
–1
 18 + cot
–1
 32 + .... is
(a) p
(b)
(c)
(d) None of these
8. If cos
–1
x + cos
–1
 y = , then the value sin
–1
x + sin
–1
 y is equal to
(a)
(b)
(c)
(d)
9. The value of
 (0 < x < ) is
(a)
(b)
(c)
(d)
10. If sin
–1 
a + sin
–1
b + sin
–1
c = p, then find the value of
.
(a) abc
(b) a + b + c
(c)
(d) 2abc
11.
, then :
(a)
(b)
(c)
(d)
12. = ............
(a)
(b)
(c)
(d) None of these
13. If 0 < a < b < c, then
=
(a) 0
(b) p
(c) 2p
(d) None of these
14. In a ?ABC, if and , then C =
(a)
(b)
(c)
(d)
15. If , then
 where k =
(a) 1
(b) 2
(c) 4
(d) None of these
16. The sum of the infinite series
(a)
(b)