If the equation `4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0` have a root common, then the irrational values of `lambda and mu` are (a) `lambda=(-3)/4` b. `lambda=0` c. `mu=3/4` b.`mu=0`

Options

A. ` lambda = (-3)/(4)`
B. `lambda = 0`
C. `mu = (3)/(4)`
D. `mu = 0`

Answer

1,4

Explanation

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 `