JEE Advanced Level Test: Inverse Trigonometry- 1

Question 1

Accepted Answer

Answer

Answer

Answer

Question 2

If cot^-1 x + cot^-1 y + cot^-1 then x + y + z is equal to

Accepted Answer

xyz

Answer

Answer

xy + yz + zx

Answer

none of these

Question 3

Accepted Answer

tan² (x/2)

Answer

Answer

Answer

None of these

Question 4

If a, b, c be positive real numbers and the value of then tanθ is equal to -

Accepted Answer

0

Answer

1

Answer

Answer

None of these

Question 5

Accepted Answer

5&pi;/6

Answer

&pi;/6

Answer

17&pi;/6

Answer

none of these

Question 6

The value of tan^–1(1) + cos^–1(–1/2) + sin^–1(–1/2) is equal to -

Accepted Answer

3&pi;/4

Answer

&pi;/4

Answer

5&pi;/12

Answer

13&pi;/12

Question 7

Accepted Answer

a > x > b or a < x < b

Answer

a = x = b

Answer

a > b and x takes any value

Answer

a < b and x takes any value

Question 8

Accepted Answer

Answer

1/2

Answer

Answer

None of these

Question 9

Value of <img src="https://cn.edurev.in/ApplicationImages/Temp/485050_5b0791ab-33b1-4c9b-98e1-5209718b1641_lg.PNG" />

Accepted Answer

Answer

Answer

Answer

None

Question 10

The Greatest value among tan1, tan^-11, sin1, sin^-11, cos1

Accepted Answer

sin-1

Answer

tan1

Answer

tan-1 1

Answer

sin1

Question 11

Where a and b are in their lowest form, then (a + b) equal to

Accepted Answer

20

Answer

17

Answer

23

Answer

None of these

Question 12

If domain of function f:x→x² + 1 is {0,1}, then its range is

Accepted Answer

{1,2}

Answer

{0,1}

Answer

{2,3}

Answer

{3,4}

Question 13

The sum of the series cot^–12 + cot^–18 + cot^–118 + cot^–132 + ….. is

Accepted Answer

&pi;/4

Answer

&pi;/2

Answer

&pi;/3

Answer

&pi;

Question 14

Accepted Answer

Answer

Answer

Answer

Question 15

If tan (x + y) = 33 and x = tan^–1 3, then y will be

Accepted Answer

tan^–1(0.3)

Answer

0.3

Answer

tan^–1(1.3)

Answer

Question 16

Accepted Answer

Answer

Answer

Answer

None

Question 17

The number of solutions of the equation belonging to the interval ( 0,1) is

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 18

The value of

Accepted Answer

17/6

Answer

6/17

Answer

7/17

Answer

16/7

Question 19

If cos^-1 x - cos^-1 y/2 = α, then 4x² − 4xy cos α + y² is equal to

Accepted Answer

4 sin2 &alpha;

Answer

2 sin 2&alpha;

Answer

4

Answer

− 4 sin² α

Question 20

If [sin^-1 cos^-1 sin^-1 tan^-1x] = 1, ëû where [.] denotes the greatest integer function, then x belongs to the interval.

Accepted Answer

[tan sin cos1, tan sin cos sin1]

Answer

[tan sin cos1, tan sin cos sin 2]

Answer

[-1,1]

Answer

[sin cos tan1, sin cos sin tan1]

Question 21

The value of sin^-1 [cos(cos^-1(cosx) + sin^-1 (sinx))], where

Accepted Answer

Answer

&pi;/2

Answer

&pi;

Answer

Question 22

The principal value of

Accepted Answer

&pi;

Answer

&pi;/2

Answer

&pi;/3

Answer

4&pi;/3

Question 23

If x₁, x₂ , x₃ , x₄ are roots of the equation x⁴ - x³ sin 2β + x² cos2β - x cosβ - sinβ Tan^-1 (x₁) + Tan^-1 (x₂) + Tan^-1 (x₃) + Tan^-1(x₄) can be equal to

Accepted Answer

Answer

&beta;

Answer

Answer

-&beta;

Question 24

The number of solutions of

Accepted Answer

4

Answer

2

Answer

3

Answer

6

Question 25

If xy + yz + zx = 1, then, tan^–1x + tan^–1y + tan^–1z =

Accepted Answer

&pi;/2

Answer

&pi;

Answer

1

Answer

None of these

Question 26

then the value of tan^-1 (sin A) + tan^-1(sin³ A) + tan^-1 (cot A cos A)

Accepted Answer

&pi;/2

Answer

&pi;

Answer

-&pi;/2

Answer

0

Question 27

The equation

Accepted Answer

3 roots whose sum is zero

Answer

2 roots

Answer

3 roots which are in G.P.

Answer

3 roots which are in H.P.

Question 28

The number of real solution of

Accepted Answer

two

Answer

zero

Answer

one

Answer

infinite

Question 29

If 0 < x < 1, the numberof solutions of the equation tan^-1(x-1) + tan^-1 x + tan^-1 (x+1) = tan^-1 3x is

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 30

If x² + y² + z² = r², then

Accepted Answer

&pi;/2

Answer

&pi;

Answer

0

Answer

None of these

Inverse Trigonometry- 1 - Free MCQ Practice Test with solutions, JEE Chapter

MCQ Practice Test & Solutions: JEE Advanced Level Test: Inverse Trigonometry- 1 (30 Questions)

If cot^-1 x + cot^-1 y + cot^-1 then x + y + z is equal to

If a, b, c be positive real numbers and the value of then tanθ is equal to -

The value of tan^–1(1) + cos^–1(–1/2) + sin^–1(–1/2) is equal to -

Value of

The Greatest value among tan1, tan^-11, sin1, sin^-11, cos1

Where a and b are in their lowest form, then (a + b) equal to

If domain of function f:x→x² + 1 is {0,1}, then its range is

The sum of the series cot^–12 + cot^–18 + cot^–118 + cot^–132 + ….. is

If tan (x + y) = 33 and x = tan^–1 3, then y will be

The number of solutions of the equation belonging to the interval ( 0,1) is

The value of

If cos^-1 x - cos^-1 y/2 = α, then 4x² − 4xy cos α + y² is equal to

If [sin^-1 cos^-1 sin^-1 tan^-1x] = 1, ëû where [.] denotes the greatest integer function, then x belongs to the interval.

The value of sin^-1 [cos(cos^-1(cosx) + sin^-1 (sinx))], where

The principal value of

If x₁, x₂ , x₃ , x₄ are roots of the equation x⁴ - x³ sin 2β + x² cos2β - x cosβ - sinβ Tan^-1 (x₁) + Tan^-1 (x₂) + Tan^-1 (x₃) + Tan^-1(x₄) can be equal to

The number of solutions of

If xy + yz + zx = 1, then, tan^–1x + tan^–1y + tan^–1z =

then the value of tan^-1 (sin A) + tan^-1(sin³ A) + tan^-1 (cot A cos A)

The equation

The number of real solution of

If 0 < x < 1, the numberof solutions of the equation tan^-1(x-1) + tan^-1 x + tan^-1 (x+1) = tan^-1 3x is

If x² + y² + z² = r², then

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Chapter-wise Tests for JEE Main & Advanced

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Inverse Trigonometry- 1 - Free MCQ Practice Test with solutions, JEE Chapter

MCQ Practice Test & Solutions: JEE Advanced Level Test: Inverse Trigonometry- 1 (30 Questions)

If cot-1 x + cot-1 y + cot-1 then x + y + z is equal to

If a, b, c be positive real numbers and the value of then tanθ is equal to -

The value of tan–1(1) + cos–1(–1/2) + sin–1(–1/2) is equal to -

Value of

The Greatest value among tan1, tan-11, sin1, sin-11, cos1

Where a and b are in their lowest form, then (a + b) equal to

If domain of function f:x→x² + 1 is {0,1}, then its range is

The sum of the series cot–12 + cot–18 + cot–118 + cot–132 + ….. is

If tan (x + y) = 33 and x = tan–1 3, then y will be

The number of solutions of the equation belonging to the interval ( 0,1) is

The value of

If cos-1 x - cos-1 y/2 = α, then 4x2 − 4xy cos α + y2 is equal to

If [sin-1 cos-1 sin-1 tan-1x] = 1, ëû where [.] denotes the greatest integer function, then x belongs to the interval.

The value of sin-1 [cos(cos-1(cosx) + sin-1 (sinx))], where

The principal value of

If x1, x2 , x3 , x4 are roots of the equation x4 - x3 sin 2β + x2 cos2β - x cosβ - sinβ Tan-1 (x1) + Tan-1 (x2) + Tan-1 (x3) + Tan-1(x4) can be equal to

The number of solutions of

If xy + yz + zx = 1, then, tan–1x + tan–1y + tan–1z =

then the value of tan-1 (sin A) + tan-1(sin3 A) + tan-1 (cot A cos A)

The equation

The number of real solution of

If 0 < x < 1, the numberof solutions of the equation tan-1(x-1) + tan-1 x + tan-1 (x+1) = tan-1 3x is

If x2 + y2 + z2 = r2, then

Chapter-wise Tests for JEE Main & Advanced

Chapter-wise Tests for JEE Main & Advanced

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About this JEE Practice Test

Explore more JEE Study Resources

If cot^-1 x + cot^-1 y + cot^-1 then x + y + z is equal to

The value of tan^–1(1) + cos^–1(–1/2) + sin^–1(–1/2) is equal to -

The Greatest value among tan1, tan^-11, sin1, sin^-11, cos1

The sum of the series cot^–12 + cot^–18 + cot^–118 + cot^–132 + ….. is

If tan (x + y) = 33 and x = tan^–1 3, then y will be

If cos^-1 x - cos^-1 y/2 = α, then 4x² − 4xy cos α + y² is equal to

If [sin^-1 cos^-1 sin^-1 tan^-1x] = 1, ëû where [.] denotes the greatest integer function, then x belongs to the interval.

The value of sin^-1 [cos(cos^-1(cosx) + sin^-1 (sinx))], where

If x₁, x₂ , x₃ , x₄ are roots of the equation x⁴ - x³ sin 2β + x² cos2β - x cosβ - sinβ Tan^-1 (x₁) + Tan^-1 (x₂) + Tan^-1 (x₃) + Tan^-1(x₄) can be equal to

If xy + yz + zx = 1, then, tan^–1x + tan^–1y + tan^–1z =

then the value of tan^-1 (sin A) + tan^-1(sin³ A) + tan^-1 (cot A cos A)

If 0 < x < 1, the numberof solutions of the equation tan^-1(x-1) + tan^-1 x + tan^-1 (x+1) = tan^-1 3x is

If x² + y² + z² = r², then