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If alpha,beta are the roots of the equat...

If `alpha,beta` are the roots of the equation `x^2-p(x+1)-c=0` then `(alpha+1)(beta+1)=`
a) `c` b) `c-1` c) `1-c` d) none of these

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Verified by Experts

The correct Answer is:
c) `1-c`
Given that alpha and beta are roots of quadratic equation
`f(x)=x^2 −p(x+1)−c=x^2−px−p−c=x^2 −px−(p+c)`
Comparing with `ax^2+bx+c`,
we have, `a=1`, `b=−p` and `c=−(p+c)`
...
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