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Question: Roots of the equation ax<sup>2</sup> + bx + c = 0 are sin a and cos a then...

Roots of the equation ax2 + bx + c = 0 are sin a and cos a then

A

(a – c)2 = b2 + c2

B

(a + c)2 = b2 – c2

C

a2 = b2 –2ac

D

a2 + b2 = 2ac

Answer

a2 = b2 –2ac

Explanation

Solution

sin a + cos a = –ba\frac{b}{a}, sin a cos a = ca\frac{c}{a} eliminate 'a'