`y=x^(2)+x+8`

The sum of the ordinates of point of contacts of the common tangent to the parabolas y=x^(2)+4x+8 and y=x^(2)+8x+4 is

Find (dy)/(dx) of y=(x^(2)-5x+8)(x^(3)-7x+9)

The tangent to the parabola y=x^(2)-2x+8 at P(2, 8) touches the circle x^(2)+y^(2)+18x+14y+lambda=0 at Q. The coordinates of point Q are

The tangent to the parabola y=x^(2)-2x+8 at P(2, 8) touches the circle x^(2)+y^(2)+18x+14y+lambda=0 at Q. The coordinates of point Q are

Find the range of the expression y=(x^(2)-2x-8)/(x^(2)-4x-5) , forall permissible value of x.

Find the power of the point P(2,3) with respect to the circle S = x^(2) +y^(2) -2x +8y -23 =0

The sum of the ordinates of point of contacts of the common tangent to the parabolas y = x^2 + 4x +8 and y=x^2+8x +4 is

Length of the latus rectum of the ellipse 2 x^(2)+y^(2)-8 x+2 y+7=0 is