In Fig. 6.16, if` x + y = w + z`, then prove that AOB is a line.

In figure, if x + y = w + z , then prove that AOB is a line.

In fig. if x+y=w+z, then prove that AOB is a line

If x, y, z are not all zero & if ax + by + cz=0, bx+ cy + az=0 & cx + ay + bz = 0 , then prove that x: y : z = 1 : 1 : 1 OR 1 :omega:omega^2 OR 1:omega^2:omega , where omega is one ofthe complex cube root of unity.

If tan^-1 x + tan^-1y - tan^-1z = 0 , then prove that x + y + xyz = z.

If tan^-1x + tan^-1y + tan^-1z = pi , then prove that: x + y + z = xyz.

If the 4th, 10th and 16th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.

In fig. lines anglePQR=anglePRQ , then prove that anglePQS=anglePRT

If z= x + iy, x, y real, prove that : |x|+|y| le sqrt2 |z| .