If ` (-1, 3) and (alpha, beta)` are the extremities of the diameter of the circle ` x ^(2) + y ^(2) - 6x + 5y - 7 = 0 `, find the coordinates `(alpha, beta )`.

If a point (alpha, beta) lies on the circle x^(2)+y^(2)=1 , then the locus of the point, (3 alpha+2, beta) is

If alpha, beta, 1 are the roots of x ^(3) - 2x ^(2) - 7x + 6 =0, then find alpha, beta.

If alpha , beta roots of the equations x^(2) - 5x + 6 = 0 , find the value of alpha^(2) - beta^(2) .

If alpha, beta are the rootsof 6x^(2)-4sqrt2 x-3=0 , then alpha^(2)beta+alpha beta^(2) is

If alpha, beta are the rootsof 6x^(2)-4sqrt2 x-3=0 , then alpha^(2)beta+alpha beta^(2) is

alpha , beta " are root of " y^2 - 2y - 7 =0 " find " alpha^3 + beta^3

alpha , beta " are root of " y^2 - 2y - 7 =0 " find " alpha^2 + beta^2

If alpha and beta are the roots of 2x^(2) + 5x - 4 = 0 then find the value of (alpha)/(beta) + (beta)/(alpha) .

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha^2 + beta^2

If the length of the tangent drawn from (alpha,beta) to the circle x^(2)+y^(2)=6 be twice the length of the tangent from the same point to the circle x^(2)+y^(2)+3x+3y=0, then prove that alpha^(2)+beta^(2)+4 alpha+4 beta+2=0