CircleHard

Question

Locus of the image of the point (2, 3) in the line (2x − 3y + 4) + k (x − 2y + 3) = 0, k ∈R, is a

Options

A.circle of radius √2
B.circle of radius √3
C.straight line parallel to x-axis
D.straight line parallel to x-axis

Solution


P is the fixed point for given family of line PB = PA ⇒ (α − 1)2 + (α − 2)2 = 1 + 1 (x − 1)2 + (y − 2)2 = (√2)2
∴locus is a circle of radius 2

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