A common tangent to `9x^2-16y^2 = 144` and `x^2 + y^2 = 9`, is

The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(2)+y^(2)-6x-8y=24 is

Absoulte value of y -intercept of the common tangent to the parabola y^2=32 x and x^2=108 y is

The equation of a common tangent tangent to the curves, y^(2)=16x and xy= -4, is

Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 and x^2+y^2-4x-10 y+9=0

Sum of slopes of common tangent to y = (x^(2))/(4) - 3x +10 and y = 2 - (x^(2))/(4) is

Find the equations to the common tangents of the circles x^2+y^2-2x-6y+9=0 and x^2+y^2+6x-2y+1=0

Show that the common tangents to the parabola y^2=4x and the circle x^2+y^2+2x=0 form an equilateral triangle.

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

The equations of the common tangents to the parabola y = x^2 and y=-(x-2)^2 is/are :

The locus of the foot of the perpendicular from the center of the hyperbola x y=1 on a variable tangent is (x^2-y^2)=4x y (b) (x^2-y^2)=1/9 (x^2-y^2)=7/(144) (d) (x^2-y^2)=1/(16)