If r2 = x2 + y2 + z2, then prove that
Given, r2 = x2 + y2 + z2 ...(i)
LHS
If cos(A) + cos(B) + cos(C) = 0, prove that
cos(3A) + cos(3B) + cos(3C) = 12 cos(A) cos(B)cos(C)
If are the roots of the equation ax2 - bx + c = 0, then a, b and c satisfy the relation
a2 + b2 + 2ac = 0
a2 - b2 + 2ac = 0
a2 + c2 + 2ab = 0
a2 - b2 - 2ac = 0