Home
Class 10
MATHS
If x, y, z are in AP, then show that the...

If x, y, z are in AP, then show that the following are also in AP: `(y+z)^2-x^2, (z+x)^2- y^2, (x+y)^2- z^2`

Promotional Banner

Similar Questions

Explore conceptually related problems

Factorise the following expressions : x^2 y z + x y^2z + x y z^2

If x^(2),y^(2),z^(2) are in AP, then y+z,z+x,x+y are in

If reciprocals of (x+y)/2,y, (y+z)/2 are in A.P., show that x,y,z are in G.P.

Show that the following system of equations is consistent. x-y+z=3,2x+y-z=2,-x-2y+2z=1

Using factor theorem, show that x-y,y-z,z-x are the factors of x^2(y-z)+y^2(z-x)+z^2(x-y)

If sin(y+z-x), sin (z+x-y) and sin (x+y-z) are in A.P., show that tan x, tan y and tan z are also in A.P.

Without expanding,show that the following determinant vanishes. abs((2x,x+y,x+z),(y+x,2y,y+z),(z+x,z+y,2z))