CBSE Class 10 Maths (Standard) 2017 · Paper 30/2/1 · Question 11

Quadratic Equations 3 marks Medium

If the roots of the quadratic equation

(a - b) x^{2} + (b - c) x + (c - a) = 0

are equal, prove that

2 a = b + c

Answer

Since the discriminant

(b + c - 2 a)^{2} = 0

, we get

b + c - 2 a = 0

, i.e.

2 a = b + c

. Proved.

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