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JEE MATHEMATICS MCQ: PAIR OF STRAIGHT LINES

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The lines joining the origin to the points of intersection of x2+y2+2gx+c=0x^2+y^2+2 g x+c=0 and x2+y2+2fy−c=0x^2+y^2+2 f y-c=0 are at right angles, if
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Correct option: C
g2−f2=2cg^2-f^2=2 c
Option C (g2−f2=2cg^2-f^2=2 c) is correct because the condition for the lines joining the origin to the intersection points to be at right angles leads to the equation g2−f2=2cg^2 - f^2 = 2c.

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