Home
Class 12
MATHS
If tan^(-1)((a+x)/(a) )+ tan ^(-1) ((a-x...

If `tan^(-1)((a+x)/(a) )+ tan ^(-1) ((a-x)/(a)) = (pi)/(6)` then prove that `x^(2) = 2sqrt(3)a^2`

A

(a) `2sqrt(3)a`

B

(b) `sqrt(3a)`

C

(c) `2sqrt(3)a^(2)`

D

(d) `sqrt(3)a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If tan^(-1)x+2cot^(-1)x=(2pi)/(3) then x =

tan^(-1)""(1-x)/(1+x)=(1)/(2)tan^(-1)x,(xgt0)

IF tan ^(-1) 2x + tan ^(-1) 3x =(pi)/(4) , then x= ? a) -1 b) 1/6 c) -1,1/6 d) 2/3

A solution of equation tan ^(-1) ""(x-1)/(x-2) + tan ^(-1) ""(x+1)/(x+2)=(pi)/(4)

A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

int frac{1}{4+5 cos^2 x} dx=.............. A) (1/3) tan^(-1) ((2/3)tan x) + c B) (1/6) tan^(-1) ((2/3)tan x) + c C) (1/4) tan^(-1) ((2/3)tan x) + c D) (1/3) tan^(-1) ((1/3)tan x) + c