There is a curve in which the length of the perpendicular from the origin to tangent…

MATHEMATICS · Single correct · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

There is a curve in which the length of the perpendicular from the origin to tangent at any point is equal to abscissa of that point. Then, (1)

x^2 + y^2 = 2

is one such curve (2)

y^2 = 4x

is one such curve (3)

x^2 + y^2 = 2cx

(

c

parameters) are such curves (4) there are no such curves