Two common tangents to the circle `x^(2) + y^(2) = (a^(2))/(2)` and the parabola `y^(2) = 4ax` are

Equation of a common tangent to the circle x^(2)+y^(2)-6x=0 and the parabola y^(2)=4x is

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

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = 8x touch the circle at P,Q andthe parabola at R,S . Then area of quadrilateral PQRS is

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

The number of common tangents to the ellipse (x^(2))/(16) + (y^(2))/(9) =1 and the circle x^(2) + y^(2) = 4 is

Statement 1 : The number of common tangents to the circles x^(2) + y^(2) =4 and x^(2) + y^(2) -6x - 6y = 24 is 3. Statement 2 : If two circles touch each other externally thenit has two direct common tangents and one indirect common tangent.

Statement 1: There are no common tangents between the circle x^2+y^2-4x+3=0 and the parabola y^2=2xdot Statement 2:Given circle and parabola do not intersect.

If the circle x^(2)+y^(2)+2ax=0, a in R touches the parabola y^(2)=4x , them