A value of b for which the equations x^2 + bx - 1 = 0 x^2 + x + b = 0, have one root in common is

JEE Advanced 2011 Mathematics question

A value of b for which the equations

+ bx - 1 = 0

+ x + b = 0,

have one root in common is

Answer: (B)

Let α be the common root. Subtracting the equations: (b ≠ 1; for b = 1 the equations have no common root). Substitute into and multiply by :

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Question ID VK-025985