Maximum number of common normals of `y^2=4ax and x^2=4by` is ____

The equation of the common tangent to the parabolas y^2= 4ax and x^2= 4by is given by

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

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

If the circle (x-6)^(2)+y^(2)=r^(2) and the parabola y^(2)=4x have maximum number of common chords, then the least integral value of r is __________ .

The number of common chords of the parabolas x=y^2-6y+11 and y=x^2-6x+11 is 1 (b) 2 (c) 4 (d) 6

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

Find the area of the region bounded by y^2=4ax and x=|y| .

If 2 x-3 y=0 is the equation of the common chord of the circles, x^2+y^2+4 x=0 and x^2+y^2+2 lambda y=0 , then the value of lambda is

Statement 1 : The equations of the straight lines joining the origin to the points of intersection of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y-4=0 is x-y=0 . Statement 2 : y+x=0 is the common chord of x^2+y^2-4x-2y=4 and x^2+y^2-2x-4y-4=0

Find the area between the curves y^(2) = 4ax and x^(2)=4ay .