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Consider quadratic equations x^(2)-ax+b=...

Consider quadratic equations `x^(2)-ax+b=0`……….`(i)` and `x^(2)-px+q=0`……….`(ii)`
If for the equations `(i)` and `(ii)` , one root is common and the equation `(ii)` have equal roots, then `b+q` is equal to

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The correct Answer is:
C
`(c )` `alpha+beta=a`, `alphabeta=b`, `gamma+delta=p`, `gammadelta=q`
`alpha`, `beta`, `gamma`, `delta` are in `A.P.`, `beta-alpha=delta-gamma`
`implies (beta+alpha)^(2)-4alphabeta=(delta+gamma)^(2)-4gammadelta`
`implies a^(2)-4b=p^(2)-4q`
`implies q-b=(p^(2)-a^(2))/(4)`
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