Question

If sin θ and cos θ are the roots of the equation  ax² – bx + c = 0, then a, b and c satisfy the relation 

• (A) a² + b² + 2ac = 0
• (B) a² – b² + 2ac = 0
• (C) a² + c² + 2ab = 0
• (D) a² – b² – 2ac = 0

Answer 1

The Correct Option is B

Explanation:
$$\begin{array}{l}\sin \theta +\cos \theta =\frac{b}{a}\\ \sin \theta \cdot \cos \theta =\frac{c}{a}\\ {\left(\frac{b}{a}\right)}^2=1+\frac{2c}{a}\\ b^2=a^2+2ac\\ a^2-b^2+2ac=0\end{array}$$