Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Circle>Radical Axis

Radical Axis

Author:Dr. SK Goyal

JEE Main/Advanced

IMPORTANT

Important Questions on Radical Axis

EASY

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Circle>Radical Axis> Q 1

Find the radical axis of a co-axial system of circles whose limiting points are $(1, 2)$ and $(3, 4)$ .

MEDIUM

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Circle>Radical Axis> Q 2

Tangents are drawn to the circles
$x^{2} + y^{2} + 4 x + 6 y - 19 = 0$
$x^{2} + y^{2} = 9$ from any point on the line $2 x + 3 y = 5$ . Prove that their lengths are equal.

HARD

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Circle>Radical Axis> Q 3

The equation of the circle described on the common chord of the circle $x^{2} + y^{2} + 2 x = 0$ and $x^{2} + y^{2} + 2 y = 0$ as diameter is

HARD

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Circle>Radical Axis> Q 4

If the radical axis of the circles $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ and $2 x^{2} + 2 y^{2} + 3 x + 8 y + 2 c = 0$ , touches the circle $x^{2} + y^{2} + 2 x + 2 y + 1 = 0$ , then