AP EAMCET · Maths · Pair of Lines
If the pair of lines joining the origin and the points of intersection of the line and the curve are at right angles, then the locus of the point is a circle of radius
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
The equation of the line is given as a x+b y=1 and the equation of the curve is given as, x2+y2-x-y-1=0 By homogenising both equations, x2+y2-x(ax+by)-y(ax+by)-(ax+by)2=0 x2+y2-ax2-bxy-axy-by2-a2x2+b2y2+2abxy=0 x21-a-a2+xy(-a-b-2ab)+y21-b-b2=0 Since it is given that…
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