If the coordinates of points `A, B, C` satisfy the relation `xy = 1000` and `(alpha, beta)` be the coordinates of the orthocentre of `DeltaABC`, then the value of `alphabeta` is

If alpha and beta are the roots of the quadratic equation px^(2)+qx+1 , Then the value of alphabeta+alpha^(2)beta^(2) is

If alpha,\ beta are the zeros of the polynomial 2y^2+7y+5 , write the value of alpha+beta+alphabeta

If the coordinates of orthocentre O' are centroid G of a DeltaABC are (0,1) and (2,3) respectively, then the coordinates of the circumcentre are

Write the coordinates of the point which is the reflection of the point (a,b,c) in the xz-plane.

Write the coordinates of the orthocentre of the triangle formed by points (8,0), (4,6) and (0,0)

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

Let A(3,4) B(5,0), C(0,5) be the vertices of a triangle ABC then orthocentre of Delta ABC is (alpha, beta) Find alpha + beta

If alpha and beta satisfy sinalpha cos beta=-1/2 , then the greatest value of 2cos alpha sin beta is ……….

x coordinates of two points B and C are the roots of equation x^2 +4x+3=0 and their y coordinates are the roots of equation x^2 -x-6=0 . If x coordinate of B is less than the x coordinate of C and y coordinate of B is greater than the y coordinate of C and coordinates of a third point A be (3, -5) , find the length of the bisector of the interior angle at A.

The reflection of the point P (alpha, beta, gamma) in the xy-plane is