The value of the determinant `|(alpha,beta,l),(alpha,x, n),(alpha,beta,x)|` is a).ndependent of `l` b). independent of `n` c).`alpha(x-l)(x-beta)` d). `alphabeta(x-l)(x-n)`

Evaluate: int1/((x-alpha)(beta-x))dx ,(beta>alpha)

Evaluate: int1/((x-alpha)(beta-x))dx ,(beta>alpha)

The value of the integral int_alpha^beta (1)/(sqrt((x-alpha)(beta-x)))dx " for "beta gt alpha , is

If p(x), q(x), r(x) be polynomials of degree one and alpha, beta, gamma are real nubers then |(p(alpha), p(beta), p(gamma)),(q(alpha), q(beta), q(gamma)), (r(alpha), r(beta), r(gamma))| (A) independent of alpha (B) independent of beta (C) independent gamma (D) independent of all alpha,beta and gamma

int _(alpha)^(beta) sqrt((x-alpha)/(beta -x)) dx is equal to

If 3sinbeta=sin(2alpha+beta) then tan(alpha+beta)-2tanalpha is (a)independent of alpha (b)independent of beta (c)dependent of both alpha and beta (d)independent of both alpha and beta

The expression (sin(alpha+theta)-"sin"(alpha-theta))/(cos(beta-theta)-cos(beta+theta)) is - independent of alpha b. independent of beta c. independent of theta d. independent of alpha\ a n d\ beta

if f(x)=(sin (x+alpha)/(sin(x+beta))),alpha ne beta then f(x) has

Find the equation of the straight line through the point (alpha,beta) and perpendiculasr to the line l x+m y+n=0.

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is a. x^(2)+alpha x- beta=0 b. x^(2)-[(alpha +beta)+alpha beta]x-alpha beta( alpha+beta)=0 c. x^(2)+[(alpha + beta)+alpha beta]x+alpha beta(alpha + beta)=0 d. x^(2)+[(alpha +beta)+alpha beta)]x -alpha beta(alpha +beta)=0