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if alpha+(1)/(alpha) and 2-beta-(1)/(bet...

if `alpha+(1)/(alpha)` and `2-beta-(1)/(beta)(alpha,betage0)` are the roots of the quadratic eqaution `x^(2)-2(a+1)x+a-3=0` then the integral values of a may be

A

3

B

0

C

5

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
`alpha+(1)/(alpha)ge2`
`-beta-(1)/(beta)le-2implies2-beta-(1)/(beta)le0`
Thus one root is greater than or equal to 2 and other roots is smaller than or equal to zero.
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