Solveeit Logo
Login

Question

Question: If a Ī (–1, 1), then roots of the quadratic equation (a – 1) x<sup>2</sup> + ax + \(\sqrt{1 - a^{2}}...

If a Ī (–1, 1), then roots of the quadratic equation (a – 1) x2 + ax + 1−a2\sqrt{1 - a^{2}} = 0 are –

A

Real

B

Imaginary

C

Both equal

D

None of these

Answer

Real

Explanation

Solution

D = a2 – 4(a – 1) 1−a2\sqrt{1 - a^{2}}

= (a – 21−a2\sqrt{1 - a^{2}})2 + 41−a2\sqrt{1 - a^{2}} (1 – 1−a2\sqrt{1 - a^{2}}) > 0