Question

If ax² + bx + c = 0 and cx² + bx + a = 0 (a, b, c Ī R) have a common non-real roots, then-

• A. – 2|a| < 5b < 2|a|
• B. –2|c| < b < 2|c|
• C. a = ± c
• D. None of the above

Answer 1

Answer: (C)

a = ± c

Answer 2

D₁ = b² – 4ac < 0, D₂ = b²– 4ac < 0 as the root is

non- real Ž both roots will be common

Ž $\frac{a}{c}$= $\frac{b}{b}$= $\frac{c}{a}$= 1 Ž a = c