If `x+4y=14` is a normal to the curve `y^2=alphax^3-beta` at (2,3), then the value of `alpha+beta` is 9 (b) `-5` (c) 7 (d) `-7`

If alpha^(2)=5 alpha-3 beta^(2)=5 beta-3 then the value of (alpha)/(beta)+(beta)/(alpha) is

If alpha and beta are the roots of 4x^(2) + 3x +7 =0 then the value of 1/alpha + 1/beta is

If f(x)=alpha x+beta and f ={(1, 1), (2, 3), (3, 5), (4, 7)}, then the values of alpha,beta are :

If alpha and beta are the roots of the equation 3x^(2)+7x+3=0 Find the value of alpha beta:

If (alpha , beta) is the point on y^2=6x , that is closest to (3,3/2) then find the value of 2(alpha+beta)

If the tangent drawn to the curve y=x^(3)+3x^(2)+2x+2" at "(0,2) also touches the curve y=kx^(2) at (alpha,beta), then absolute value of (alpha+(beta)/(k)) equal to

If alpha and beta are the roots of the equation x^(2)+3x-2(x+7)=0 then the values of alpha^(5)+beta^(5) is

If alpha and beta are the roots of the equation x^(2)+3x-2(x+7)=0 then the values of alpha^(4)+beta^(4) is

If alpha and beta are the roots of the equation x^(2)+3x-2(x+7)=0 then the values of alpha^(3)+beta^(3) is :

If alpha and beta are the roots of the equation x^(2)+3x-2(x+7)=0 then the values of alpha^(3)+beta^(3) is