Home
Class 12
MATHS
If x,y,z are in AP and tan^(-1)x,tan^(-1...

If x,y,z are in AP and `tan^(-1)x,tan^(-1)y,tan^(-1)z` are also in AP, then

A

x-y=z

B

xy=yz

C

`x^(2)=yz`

D

`z^(2)=xy`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are also in A.P. then show that x=y=z and y≠0

If tan^-1 x = y , then

If x, 1, z are in AP and x, 2, z are in GP, then x, 4, z will be in (a) AP (b) GP (c) HP (d) None Of These

Statement I If tan^(-1) x + tan^(-1) y = pi/4 - tan^(-1) z " and " x + y + z = 1 , then arithmetic mean of odd powers of x, y, z is equal to 1/3 . Statement II For any x, y, z we have xyz - xy - yz - zx + x + y + z = 1 + ( x - 1) ( y - 1) ( z - 1)

If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c-a).z(a-b)=1 .

tan^-1 x + tan^-1y= tan^-1 (frac{x+y}{1-xy} ).

tan^-1 x - tan^-1 y= tan^-1 (frac{x-y}{1+xy} .

Solve tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)""(8)/(31)