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The line x+y=1 cuts the coordinate axes ...

The line x+y=1 cuts the coordinate axes at P and Q and a line perpendicular to it meet the axes R and S. The equation to the locus of the intersection of lines PS and QR is

A

`x^(2)+y^(2)=1`

B

`x^(2)+y^(2)-2x-2y=0`

C

`x^(2)+y^(2)-x-y=0`

D

`x^(2)+y^(2)+x+y=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
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  11. A circle passes through origin and meets the axes at A and B so that (...

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  12. A rod PQ of length 2a sides with its ends on the axes the locus of the...

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  13. A line is at a distance c from origin and meets axes in A an dB. The l...

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  14. A right angled isosceles triangle is inscribed in the circle x^(2)+y^(...

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  15. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

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  16. The locus of the foot of the perpendicular drawn from orign to a varia...

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  17. A square is inscribed in the circlex^(2)+y^(2)-4x+6y-5=0 whose sides a...

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  18. A square is inscribed in the circel x^(2)+y^(2)-2x+7y-8=0 whose diagon...

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  19. The length of the tangent drawn to the circle x^(2)+y^(2)-2x+4y-11=0 f...

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