The four points of intersection of the lines with the axes lie on a circle whose…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The four points of intersection of the lines (2x−y+1)(x−2y+3)=0(2x - y + 1)(x - 2y + 3) = 0 with the axes lie on a circle whose centre is at the point (1) (−74,54)\left(-\frac{7}{4}, \frac{5}{4}\right) (2) (34,54)\left(\frac{3}{4}, \frac{5}{4}\right) (3) (94,54)\left(\frac{9}{4}, \frac{5}{4}\right) (4) (0,54)\left(0, \frac{5}{4}\right)

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