The equation of the locus of a point which moves so that its distance from the point…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The equation of the locus of a point which moves so that its distance from the point (a,0)(a, 0) is kk times its distance from the point (ak,0)\left(\frac{a}{k}, 0\right), (k≠1)(k \ne 1) is (1) x2−y2=a2x^2 - y^2 = a^2 (2) 2x2−y2=2a22x^2 - y^2 = 2a^2 (3) xy=a2xy = a^2 (4) x2+y2=a2x^2 + y^2 = a^2

Related theory

Browse the problem library