Home
Class 12
MATHS
If tan^(-1) 3 +tan^(-1)x=tan^(-1)87 then...

If `tan^(-1) 3 +tan^(-1)x=tan^(-1)87` then x =

A

`1/3`

B

`1/5`

C

3

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
`tan^(-1)x+tan^(-1)3=tan^(-1)8 rArr tan^(-1)(3+x)/(1-3x)=pi+tan^(-1)(-1)`
`=pi-tan(1)=(pi-pi/4)=(3pi)/4`.
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    RS AGGARWAL|Exercise Exercise 4D|6 Videos

  • INTEGRATION USING PARTIAL FRACTIONS

    RS AGGARWAL|Exercise Objective Questions Ii|37 Videos

  • LINEAR DIFFERENTIAL EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|27 Videos

Similar Questions

Explore conceptually related problems

If tan^(-1) 3 +tan^(-1)x=tan^(-1)8 then x =

If tan^(-1)3+ tan^(-1)x = tan^(-1)8 , then: x=

If tan^(-1)x-tan^(-1)y=tan^(-1)A, then A=

If tan^(-1)x+tan^(-1)(1-x)=tan^(-1)(4/3) then x=

Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x (x != 0)

Solve for x , tan^(-1) ( x + 1) + tan^(-1) x + tan^(-1) ( x - 1) = tan ^(-1) 3x

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/(x))=tan^(-1)(-7)+pi then x =