If the lines and lie along diameters of a circle of circumference

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

Problem

If the lines 2x+3y+1=02x + 3y + 1 = 0 and 3x−y−4=03x - y - 4 = 0 lie along diameters of a circle of circumference 10π10\pi , then the equation of the circle is (1) x2+y2−2x+2y−23=0x^2 + y^2 - 2x + 2y - 23 = 0 (2) x2+y2−2x−2y−23=0x^2 + y^2 - 2x - 2y - 23 = 0 (3) x2+y2+2x+2y−23=0x^2 + y^2 + 2x + 2y - 23 = 0 (4) x2+y2+2x−2y−23=0x^2 + y^2 + 2x - 2y - 23 = 0

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