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If both the roots of lamda(6x^(2)+3)+rx+...

If both the roots of `lamda(6x^(2)+3)+rx+2x^(2)-1=0` and `6 lamda(2x^(2)+1)+px+4x^(2)-2=0` are common, then `2r-p` =?

A

`-1`

B

`0`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
B
`(b)` Given equation can be written as
`(6k+2)x^(2)+rx+3k-1=0`………`(i)`
and `2(6k+2)x^(2)+px+2(3k-1)=0`……….`(ii)`
Condition for common roots is
`(12k+4)/(6k+2)=(p)/(r )=(6k-2)/(3k-1)=2` or `2r-p=0`
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