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If the equation 4x^2-x-1=0a n d3x^2+(lam...

If the equation `4x^2-x-1=0a n d3x^2+(lambda+mu)x+lambda-mu=0` have a root common, then he rational values of `lambdaa n dmu` are `lambda=(-3)/4` b. `lambda=0` c. `mu=3/4` b.`mu=0`

A

` lambda = (-3)/(4)`

B

`lambda = 0`

C

`mu = (3)/(4)`

D

`mu = 0`

Text Solution

Verified by Experts

The correct Answer is:
1,4
Roots of `4x^(2) - x - 1 = 0 ` are irrational . So , one roots common
implies both roots are common . Therefore ,
`(4) /(3) = (-1)/(lambda + mu) = (-1)/(lanbda - mu)`
`rArr lambda = (-3)/(4), mu = 0 `
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