Find the equation of the common tangent to the curves `y^2=8x` and xy=-1.

Statement 1: The equation of the common tangent to the curves y^2 = 8x and xy= -1 is y=x+2 . Statement 2: Curves y^2 = 8x and xy=-1 intersect at (1/2, -2) . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Find the equations of the common tangents to the circle x^2+y^2 = 8 and the parabola y^2 = 16x.

Find the equation of the tangent to the curve y=x-sinxcosx at x=pi/2

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

The equation of common tangent to the curves y^2 =4x and xy=2 is (A) x+2y-4=0 (B) x+2y+4=0 (C) x-2y+4=0 (D) x-2y-4=0

Find the equation of the common tangent of y^2=4a x and x^2=4a y .

The equation of the tangent to the curve y = e^(2x) at (0,1) is

Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8=0.

Find the equation of the tangent to the curve y=-5x^2+6x+7 at the point (1//2,\ 35//4) .

Find the equations of the tangent and the normal to the curve y^2=4x at (1,\ 2) at indicated points.