Statement–I: A variable line drawn through a fixed point cuts the coordinate axes at A and B. The locus of mid-point of AB is a circle.

Question

Statement–I: A variable line drawn through a fixed point cuts the coordinate axes at A and B. The locus of mid-point of AB is a circle.

Statement–II: Through 3 non-collinear points in a plane, only one circle can be drawn.

Smart Achievers · Accepted Answer

(4)

Equation of line is $\frac{x}{2 h} + \frac{y}{2 k} = 1$

If it passes through fixed point $(x_{1}, y_{1})$ , $\frac{x_{1}}{2 h} + \frac{y_{1}}{2 k} = 1$

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