Let f(x) be a quadratic polynomial such that f(-1) + f(2) = 0. If one of the roots of f(x)=0 is 3, then its other root lies in
Let f(x) be a quadratic polynomial such that f(-1) + f(2) = 0. If one of the roots of f(x)=0 is 3, then its other root lies in
Option 1 -
(-3, -1)
Option 2 -
(-1, 0)
Option 3 -
(0, 1)
Option 4 -
(1, 3)
Asked by Shiksha User
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1 Answer
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Correct Option - 2
Detailed Solution:f (x)=a (x-3) (x-α)
f (2)=a (2-α)
f (-1)=a (-4) (-1-α)=4a (1+α)
f (-1)+f (2)=0 ⇒ a (2-α+4+4α)=0 ⇒ a≠0 ⇒ 5α=-2 ⇒ α=-0.4
α ∈ (-1,0)
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