HARD
JEE Main/Advance
IMPORTANT
Earn 100

A parabola is drawn to pass through and the ends of a diameter of a given circle of radius and to have as directrix a tangent to a concentric circle of radius then axes being and a perpendicular diameter, prove that the locus of the focus of the parabola is .

Important Questions on Circle
HARD
JEE Main/Advance
IMPORTANT

HARD
JEE Main/Advance
IMPORTANT
Let be a point from where perpendicular tangents are drawn to the circle . Let a line from perpendicular to is drawn which intersect hyperbola at and . Find number of all possible positions of such that product of ordinates of points and is .
