Number of common tangent with finite slope to the curves `xy=c^(2)` and `y^(2)=4ax` is:

The equation of common tangent of the curve x^(2) + 4y^(2) = 8 and y^(2) =4x are

The common tangent of the curves y=x^(2) +(1)/(x) " and " y^(2) =4 x is

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

Find slope of tangent to the curve x^2 +y^2 = a^2/2

If m is the slope of common tangent lo circle x^(2)+y^(2 )= c^(2) and the parabola y^(2 )= 4ax then find the value of m^(2)

find the common tangents of the circle x^2+y^2=2a^2 and the parabola y^2=8ax

The product of the slopes of the common tangents of the ellipse x^(2)+4y^(2)=16 and the parabola y^(2)-4x-4=0 is

From a pt A common tangents are drawn to a circle x^2 +y^2 = a^2/2 and y^2 = 4ax . Find the area of the quadrilateral formed by common tangents, chord of contact of circle and chord of contact of parabola.

Find the inclination from X - axis of the tangent at point (a, 2a) of the curve y^(2) = 4ax .

Find the slope of the tangent to the curve y=x^2 at (-1/2,1/4) .