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

If bot 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` is equal to

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Given equation can be written as `(6k+2)x^(2)+rx+3k-1=0 and 2(6k+2)x^(2)+px+2(3k-1)=0` Condition for common roots is `(12k+4)/(6k+2)=p/r (6k-2)/(3k-1)=2 or 2r-p=0`
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VMC MODULES ENGLISH-JEE MAIN REVISION TEST -17 (2020)-MATHEMATICS
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