Find the number of solutions of x + y + z + w = 20 under the following conditions:(i) zero values of x,y,z,w are included.
Find the totoal number of distnct or dissimilar terms in the expansion of (x + y + z + w)^(n), n in N
Prove that (x^2 + y^2)(z^2 + w^2) = X^2 + Y^2 if (x + iy)(z + iw) = X + iY
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.
If [(x-y, z),(2x-y, w)] = [(-1,4),(0,5)] , find x , y , z and w.
Find x, y,z and w if [(xy, w), (z+6 , x+y)] = [(8,2), (0,6)] .
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.
