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Two rods of legths a and b slide along coordinate axes. Such that their ends are concylic. Locus of the centre of the circle is

A

`4(x^(2)+y^(2))=a^(2)+b^(2)`

B

`4(x^(2)+y^(2))=a^(2)-b^(2)`

C

`4(x^(2)-y^(2))=a^(2)-b^(2)`

D

`xy=ab`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
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  11. The radius of circle having centre at (2,1) and whose on of the chord ...

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  13. Equation of the tangent to the circle x^(2)+y^(2)-2x+4y-4=0 which is p...

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  14. Locus of point of intersection of tangents to the circle x^(2)+y^(2)=a...

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  15. The slope m of a tangent through the point (7,1) to the circle x^(2)+y...

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  16. The tangents at (5,12) and (12,-5) to the circle x^(2)+y^(2)=169 are

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  17. Tangents AB and AC are drawn to the circlex^(2)+y^(2)-2x+4y+1=0 from A...

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  18. The angle between the tangents to the circle with centre (4,5) drawn f...

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  19. Angle between tangents drawn from a points P to circle x^(2)+y^(2)-4x-...

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  20. Locus of the point of intersection of tangents to the circle x^(2)+y^...

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