Show that the area of the triangle with vertices `(lambda, lambda-2), (lambda+3, lambda)` and `(lambda+2, lambda+2)` is independent of `lambda`.

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 circumcentre of the triangle whose vertices are (3, 2, -5) , (-3, 8, -5) and (-3, 2, 1) is (-1, lambda, -3) the integer lambda must be equal to……

The charge per unit length of the four quadrant of the ring is 2 lambda, -2lambda, lambda and -lambda respectively. The electric field at the centre is:

If the points A(-1, 3, 2), B(-4, 2, -2) and C(5, 5, lambda ) are collinear then find the value of lambda .

The cartessian form of the plane bar r = (1 + lambda - mu) hat i (2 - lambda) hat j + ( 3-2 lambda + 2 mu ) hat k is........

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

Coordinates of the centre of the circle given by the equation lambda x^(2) + (2lambda - 3)y^(2) - 4x + 6y - 1 =0 is ………

Disintegration constant of a radioactive material is lambda :

If |bar(a)|=4 and -3le lambda le 2 , then the range of |lambda. bar(a)| is ………..

The wavelengths of violet, yellow and red light are lambda_(v), lambda_(y) and lambda_(r) respectively, then …………