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 area enclosed by the curves y=8x-x^(2) and 8x-4y+11=0 is

The angle at which the circles x^(2) + y^(2) + 8x - 2y - 9 = 0 , x^(2) + y^(2) - 2x + 8y - 7 = 0 in tersect is

The radical axis of the circles x^(2) + y^(2) + 4x + 8y + 19 = 0 , x^(2) + y^(2) + 8x + 4y + 19 = 0 is

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.

If two circles (x-1) ^(2) + (y-3) ^(2) =r^(2)and x ^(2) +y^(2) -8x +2y + 8=0 intersect in two distinct points, then-