Find the greatest value of a non-negative real number `lambda` for which both the equations `2x^2+(lambda-1)x+8=0a n dx^2-8x+lambda+4=0` have real roots.

The value of lambda in order that the equations 2x^(2)+5 lambda x+2=0 and 4x^(2)+8 lambda x+3=0 have a common root is given by

For all lambda in R , The equation ax^2+ (b - lambda)x + (a-b-lambda)= 0, a != 0 has real roots. Then

The set of all real values of lambda for which the quadratic equations , (lambda^(2) + 1) x^(2) - 4 lambda x + 2 = 0 always have exactly one root in the interval (0,1) is :

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

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

find the values of lambda such that the equation tan^(2)x+lambda tan x+4=0 has atleast one real root

The number of real values of lambda for which the system of equations lambda x+y+z=0,x-lambda y-z=0,x+y-lambda z=0 will have nontrivial solution is

Find the set of values of lambda for which the equation |x^(2)-4|x|-12]=lambda has 6 distinct real roots.

Find the value of lambda for which equation 3x^(4)-8x^(3)-6x^(2)+24x=lambda has

The positive value of k for which the equation x^(2)+kx+64=0 and x^(2)-8x+k=0 will both have real roots,is 4 (b) 8(c)12 (d) 16