For any `lambda in R,` the locus `x² + y² - 2lambdax - 2lambday +lambda²=0` touches the line

For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches the line

For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches the line

The equation of the circle which touches the axes of co-ordination and the line ( x)/( 3) +( y )/( 4) =1 and when centre lines in the first quadrant is x^(2)+y^(2) - 2 lambda x - 2lambda y +lambda^(2) =0 , then lambda is equal to :

If lambda in R , then lambdaI_2 is the matrix

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

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

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

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

If the system of equations x+6y+6z=lambdax 4x-y+4z=lambda y 2lambdax+2lambday+lambdaz=5z has non-trivial solution then the value of |lambda| is

The period of the function f(x) = lambda| sin x| + lambda^(2) | cos x| + g (lambda) is (lambdai)/(2) , if lambda is