CBSE Class 10 Maths (Standard) 2017 · Paper 30/1/1 · Question 13

Quadratic Equations 3 marks Medium

If the equation

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

has equal roots then show that

c^{2} = a^{2} (1 + m^{2})

Answer

From the discriminant being zero, the

m^{2} c^{2}

terms cancel and we obtain

c^{2} = a^{2} (1 + m^{2})

, as required.

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