Let are positive real numbers such that ; and and the quadratic equation has equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Let

a, b, c

are positive real numbers such that

p = a^2b + ab^2 - a^2c - ac^2

;

q = b^2c + bc^2 - a^2b - ab^2

and

r = ac^2 + a^2c - cb^2 - bc^2

and the quadratic equation

px^2 + qx + r = 0

has equal roots; then

a, b, c

are in : (a) A.P (b) G.P (c) H.P (d) None of these