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One of the roots of ax^(2) + bx + c = 0 ...

One of the roots of `ax^(2) + bx + c = 0` is greater than 2 and the other is less than -1. If the roots of `cx^(2) + bx + a = 0` are `alpha and beta`, then

A

`0 lt alpha lt 1/2 and -1 lt beta lt 0`

B

`alpha lt 1/2 and beta lt -1`

C

`alpha gt 1/2 and beta gt -1`

D

`alpha lt 2 and beta gt -1`

Text Solution

Verified by Experts

The correct Answer is:
1
Roots of `ax^(2) + bx + c = 0 and cx^(2) + bx + a = 0` are reciprocals of each other.
Hence, `alpha lt 1/2 and beta gt - 1`.
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