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 e

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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 e

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
A. `-ap`
B. `ap`
C. `(1)/(2)ap`
D. `2ap`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
`(c )` Let `alpha`, `beta` be the roots of `(i)` and `alpha`, `alpha` those of `(ii)`
`:.alpha+beta=a`, `alphabetb`, `2alpha=p`, `alpha^(2)=q`
`:. B+q=alpha(beta+alpha)=(1)/(2)p.a`

4 views Answered 2023-02-05 15:29