If the roots of the given equation `2x^(2)+3(lambda-2)x+lambda+4=0` be equal in a magnitude but opposite in sign then `lambda`

If two roots of the equation x^(3)-px^(2)+qx-r=0 are equal in magnitude but opposite in sign,then:

Equation (a+5)x^2-(2a+1)x+(a-1)=0 will have roots equal in magnitude but opposite in sign if a=

Roots of the equation (x^(2)-4x+3)+lambda(x^(2)-6x+8)=0lambda in R will be

If lambda in R is such that the sum of the cubes of the roots of the equation x^(2)+(2-lambda)x+(10-lambda)=0 is minimum then the magnitude of the difference of the roots of this equation is :

If alpha,beta be the roots of the equation 4x^(2)-16x+lambda=0 where lambda in R such that 1

If the two roots of the equation (lambda-1)(x^(2)+x+1)^(2)-(lambda+1)(x^(4)+x^(2)+1)=0 are real and distin then lambda lies in the interval

If the roots of the equation x^(2)+3x+2=0 and x^(2)-x+lambda=0 are in the same ratio then the value of lambda is given by

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

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