Question

The difference between the corresponding roots of the equations x² + ax + b = 0 and x² + bx + a = 0 is the same, then-

• A. a + b – 4 = 0
• B. a – b + 4 = 0
• C. a + b + 4 = 0
• D. None of these

Answer 1

Answer: (C)

a + b + 4 = 0

Answer 2

x² + ax + b = 0 x² + bx + a = 0

ß ß

a, b = roots g, d = roots

|a – b| = |g – d|

$\frac{\sqrt{D_{1}}}{1}$ = $\frac{\sqrt{D_{2}}}{1}$

Ž D₁ = D₂

Ž a² – 4b = b² – 4a

Ž (a – b)[a + b + 4] = 0

Ž a = b or a + b + 4 = 0

Hence, a + b + 4 = 0 (Q a ¹ b)