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

`2asqrt(3)`

B

`asqrt(3)`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MASTERING THE BEST - ALL TOPICS|128 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.1|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

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

If sin^(-1)x + tan ^(-1) x = (pi)/(2) , then prove that 2x^(2) + 1 = sqrt(5)

tan^(-1)((a)/(x))+tan^(-1)((b)/(x))=(pi)/(2) then x=

Solve : tan^(-1) x + tan^(-1)( (2x)/(1-x^2)) = pi/3

If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= 2sqrt(3)a (b) sqrt(3)a (c) 2sqrt(3)a^2 (d) none of these

If tan^(-1)(a/x) + tan^(-1)(b/x) =pi/2 , then: x=

If tan^(-1)(a/x) + tan^(-1)(b/x) = pi/2 , then: x=……

If tan^(-1)x+tan^(-1)y+tan^(-1)z=(pi)/(2) then prove that yz+zx+xy=1