If the two roots of the equation `(lambda-2)(x^2+x+1)^2-(lambda+2)(x^4+x^2+1)` are real and equal for `lambda=lambda_1,lambda_2` then `lambda_1+lambda_2=0` (b) `|lambda_1-lambda_2|=6` (c) `lambda_1+lambda_2=32` (d) all of these

The equation (x^2)/(2-lambda)+(y^2)/(lambda-5)+1=0 represents an elipse, if

The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

Two protons are having same kinetic energy. One proton enters a uniform magnetic field at right angles ot it. Second proton enters a uniform electric field in the direction of field. After some time their de Broglie wavelengths are lambda_1 and lambda_2 then (a) lambda_1 = lambda_2 (b) lambda_1 lt lambda_2 (c) lambda_1 gt lambda_2 (d) some more information is required

If the sum of the roots of the equation x^2-x=lambda(2x-1) is zero, then lambda= (a) -2 (b) 2 (c) -1/2 (d) 1/2

Transition between three energy energy levels in a particular atom give rise to three Spectral line of wevelength , in increasing magnitudes. lambda_(1), lambda_(2) and lambda_(3) . Which one of the following equations correctly ralates lambda_(1), lambda_(2) and lambda_(3) ? lambda_(1)=lambda_(2)-lambda_(3) lambda_(1)=lambda_(3)-lambda_(2) (1)/(lambda_(1))=(1)/(lambda_(2))+(1)/(lambda_(3)) (1)/(lambda_(2))=(1)/(lambda_(3))+(1)/(lambda_(1))

If the matrix A = [[lambda_(1)^(2), lambda_(1)lambda_(2), lambda_(1) lambda_(3)],[lambda_(2)lambda_(1),lambda_(2)^(2),lambda_(2)lambda_(3)],[lambda_(3)lambda_(1),lambda_(3)lambda_(2),lambda_(3)^(2)]] is idempotent, the value of lambda_(1)^(2) + lambda_(2)^(2) + lambda _(3)^(2) is

if mu_21 is 1.5, then find the value of lambda_1/lambda_2.

If plambda^4+qlambda^3+rlambda^2+slambda+t=|[lambda^2+3lambda, lambda-1, lambda+3] , [lambda^2+1, 2-lambda, lambda-3] , [lambda^2-3, lambda+4, 3lambda]| then t=

If plambda^4+qlambda^3+rlambda^2+slambda+t=|[lambda^2+3lambda, lambda-1, lambda+3] , [lambda^2+1, 2-lambda, lambda-3] , [lambda^2-3, lambda+4, 3lambda]| then t=

If the points A(lambda, 2lambda), B(3lambda,3lambda) and C(3,1) are collinear, then lambda=