1.

यदि `(x-1)` और `(x+3),x^(2)+k_(1)x+k_(2)` के गुणज है तोA. `k_(1)=-2,k_(2)=-3`B. `k_(1)=2,k_(2)=-3`C. `k_(1)=-2,k_(2)=3`D. `k_(1)=-2,k_(2)=3`

Answer» Correct Answer - B
If `(x-1)` and `(x+3)` are the factors of `x^(2)+k_(1)x+k_(2)`
`:.` when `(x-1)=0`
`x=1`
`x^(2)+k_(1)x+k_(2)=0`
`1+k_(1)+k_(2)=0`
`k_(1)+k_(2)=-1`………..i
When `(x+3)=0`
`x=-3`
`9-3k_(1)+k_(2)=0`
`-3k_(1)+k_(2)=-9`................ii
From equation i and ii
`k_(1)=2, k_(2)=-3`


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