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`

Similar Questions

Explore conceptually related problems

If the equations 4x^(2)-x-1=0 and 3x^(2)+(lambda+mu)x+lambda-mu=0 have a root common, then the rational values of lambda and mu are

The equation cos^(4)x-(lambda+2)cos^(2)x-(lambda+3)=0 have a real solution if

If the equation 2x^(2)+3x+51=0 and x^(2)+2x+3 lambda=0 have a common root then lambda is equal to: a 0(b)-1(C)0,-1(d)2,-1:

If the equation (lambda^(2)-5 lambda+6)x^(2)+(lambda^(2)-3 lambda+2)x+(lambda^(2)-4)=0 is satisfied by more then two values of x then lambda=

The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

If the following equations x+y-3=0,(1+lambda)x+(2+lambda)y-8=0,x-(1+lambda)y+(2+lambda)=0 are consistent then the value of lambda is

If the points A(-1, 3, lambda), B(-2, 0, 1) and C(-4, mu, -3) are collinear, then the values of lambda and mu are

If the equation x^(2)+lambda x+mu=0 has equal roots and one root of the equation x^(2)+lambda x-12=0 is 2 ,then (lambda,mu) =

If the equation x^(2)+(lambda+mu)xy+lambda uy^(2)+x+mu y=0 represents two parallel straight lines,then prove that lambda=mu

If the equations x^(2)+2x+3 lambda=0 and 2x^(2)+3x+5 lambda=0 have a non-zero common roots,then lambda=1 (b) -1( c) 3( d) none of these