A variable chord is drawn through the origin to the circle x2 + y2 - 2ax = 0. Locus of the centre of the circle drawn on this chord as diameter is

Question

A variable chord is drawn through the origin to the circle x2 + y2 - 2ax = 0. Locus of the centre of the circle drawn on this chord as diameter is (A) x2 + y2 - ax = 0 (B) x2 + y2 + ax = 0 (C) x2 + y2 + ay = 0 (D) x2 + y2 - ay = 0

Tardigrade Admin · Accepted Answer

Correct answer is (a) x2 + y2 - ax = 0

Q. A variable chord is drawn through the origin to the circle $x^{2} + y^{2} - 2 a x = 0$ . Locus of the centre of the circle drawn on this chord as diameter is

$x^{2} + y^{2} - a x = 0$

$x^{2} + y^{2} + a x = 0$

$x^{2} + y^{2} + a y = 0$

$x^{2} + y^{2} - a y = 0$

Correct answer is (a) $x^{2} + y^{2} - a x = 0$

Q. A variable chord is drawn through the origin to the circle x2+y2−2ax=0. Locus of the centre of the circle drawn on this chord as diameter is

x2+y2−ax=0

x2+y2+ax=0

x2+y2+ay=0

x2+y2−ay=0