Question

Consider quadratic equations `x^(2)-ax+b=0`……….`(i)` and `x^(2)+px+q=0`……….`(ii)`

A. `p^(2)-a^(2)`
B. `a^(2)-p^(2)`
C. `(p^(2)-a^(2))/(4)`
D. None of these

Answer 1

Correct Answer - 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)`