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

Answer 1

Answer: (B)

(B) a2 – b2 + 2ac = 0

Answer 2

Explanation:
sin⁡θ+cos⁡θ=basin⁡θ⋅cos⁡θ=ca(ba)2=1+2cab2=a2+2aca2−b2+2ac=0