If `a mu^(3)+b mu^(2)+c mu+d=|[3 mu,mu+1,mu-1],[mu-3,-2 mu,mu+2],[mu+3,mu-4,5mu]|`, be an identity in `mu` where `a,b,c` are constants,then the value of `d` is

If the points A(-1, 3, lambda), B(-2, 0, 1) and C(-4, mu, -3) are collinear, then the values of lambda and mu are

In /_ABC, if cos A+cos B+cos C=(7)/(5) and 2R=mu r, then the value of mu is

If the points (0,1,-2),(3,lambda,-1) and (mu,-3,4) are collinear,then the value of lambda and mu are given by

If mu=u^y then find mu_(uy)

If mu_(n) = cos^(n)alpha + sin^(n)alpha , then the value of 2mu_(6)- 3mu_(4) +1 is:

Let A be a point on the line vecr = (1- 5 mu) hati + (3mu - 1) hatj + (5 + 7mu )hatk and B (8, 2, 6) be a point in the space. Then the value of mu for which the vector vec(AB) is parallel to the plane x - 4y + 3z = 1 is:

Six charges , q_1 = +1 mu C , q_2 = +3 mu C , q_3 = +4 mu C , q_4 = -2 mu C , q_5 = -3 mu C and q_6 = -3 mu C are placed on a sphee of radius 10 cm. The potential at centre of sphere is

If mu_(v), mu_(r), mu_(b) are refractive indices of violet, red and blue, respectively, in a given medium, then

An achromatic prism is made by combining two prisms P_1(mu_v=1.523, mu_r=1.515) and P_2(mu_v=1.666, mu_r=1.650) , where mu represents the refractive index. If the angle of the prism P_1 is 10^@ , then the angle of prism P_2 will be