If the zeroes of polynomials `2x^(2)-3x+lambda` and `ax^(2)-6x+mu` are same,then `(lambda a)/(mu)=`

If x-y and y-2x are two factors of the expression x^(3)-3x^(2)y+lambda xy^(2)+mu y^(2), then lambda=

If the points (0,1,-2),(3,lambda,-1) and (mu,-3,4) are collinear,then the value of lambda and mu are given by

For a,b,in R and a!=0, the equation ax^(2)+bx+c=0 and x^(2)+2x+3=0 have atleast one common root if (a)/(lambda)=(b)/(mu)=(c)/(Psi) where lambda,mu and Psi are positive integers.The least value of (lambda+mu+Psi) is

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

If tan((2 pi)/(3)-x)=(sin(2(pi)/(3)-sin2x))/(cos(2(pi)/(3)-cos2x)) where 0

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 y=2 is the directrix and (0,1) is the vertex of the parabola x^2+lambday+mu=0 , then (a)lambda=4 (b) mu=8 (c) lambda=-8 (d) mu=4

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

The number of real roots of the equation 4x^(3)-x^(2)+lambda^(2)x-mu=0 , mu in R, lambda > 1 is

If for f(x)=lambda x^(2)+mu x+12 and f'(4)=15 and f'(2)=11, then find lambda and mu