If `alpha a n d beta` are the solutions of the equation `at a ntheta+bs e ctheta=c ,` then show that `tan(alpha+beta)=(2a c)/(a^2-c^2)`

If alpha and beta are roots of the equation a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

If alpha and beta are 2 distinct roots of equation a cos theta + b sin theta = C then cos( alpha + beta ) =

If alpha and beta be the two distinct solutions of the equation a cosx+bsinx=c , then the value of tan\ (alpha+beta)/2 is independent of c

If alpha beta( alpha lt beta) are two distinct roots of the equation. ax^(2)+bx+c=0 , then

If alpha and beta are acute such that alpha+beta and alpha-beta satisfy the equation tan^(2)theta-4tan theta+1=0 , then (alpha, beta ) =

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-p(x+1)-c , show that (alpha+1)(beta+1)=1-c .

If alpha, beta are the roots of the equation ax^2 + bx +c=0 then the value of (1+alpha+alpha^2)(1+beta+beta^2) is

Stastement - 1 alpha and beta are tow distinct solutions of the equations a cosx+b sin x=c, then tan ((alpha+beta)/2) is independent for c, Statement 2. Solution cosx+bsinx=c is possible, if -sqrt(a^2+b^2)le C le sqrt(a^2+b^2)

IF alpha , beta are the roots of the equation ax^2+ bx +c=0 then the quadratic equation whose roots are alpha + beta , alpha beta is

If alpha and beta are the roots of the equation ax^2 + bx +c =0 (a != 0; a, b,c being different), then (1+ alpha + alpha^2) (1+ beta+ beta^2) =