The number of integral values of `lambda` for which the equation `x^2+y^2+lambdax+(1-lambda)y+5=0` is the equation fo a circle whose radius cannot exceed `5,` is 14 (b) 18 (c) 16 (d) none of these

The number of integral values of b, for which the equation x^(2)+bx-16=0 has integral roots, is

Find the value of lambda if the equation 9x^2+4y^2+2lambdax y+4x-2y+3=0 represents a parabola.

The value of lambda for which the lines 3x+4y=5, 5x+4y=4 and lambdax+4y=6 meet at a point is

The value of lambda for which the lines 3x + 4y=5, 2x+3y=4 and lambda x+4y=6 meet at a point is

Number of integral values of lambda for which (lim)_(xvec1)sec^(-1)((lambda^2)/((log)_e x)-(lambda^2)/(x-1)) does not exist is a. 1 b. 2 c. 3 d. 4

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

For what value of lambda , the system of equations x+y+z=1, x+2y+4z= lambda , x+4y+10z= lambda^(2) is consistent

If the equation |x^2-5x + 6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

Let lambda and alpha be real. Then the numbers of intergral values lambda for which the system of linear equations lambdax +(sin alpha) y+ (cos alpha) z=0 x + (cos alpha) y+ (sin alpha) z=0 -x+(sin alpha) y -(cos alpha) z=0 has non-trivial solutions is

The number of all possible positive integral values of alpha for which the roots of the quadratic equation 6x^2-11x+alpha=0 are rational numbers is : (a) 3 (b) 2 (c) 4 (d) 5