Engineering
Mathematics
Family of Straight lines
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

circle of radius 2.

circle of radius3.

straight line parallel to y-axis.

straight line parallel to x-axis.

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Solution

Required locus will be a circle whose centre is (1, 2), and radius is 2.

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