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A circle touches x-axis and cuts off co...

A circle touches x-axis and cuts off constant length 2p from y-axis then the locus of its centre is

A

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

B

`x^(2)-y^(2)=p^(2)`

C

`y^(2)-x^(2)=p^(2)`

D

`x^(2)+y^(2)=4p^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. A circle passes thorugh A(2,1) and touches y-axis then the locus of it...

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  2. A circle passes through A(1,1) and touches x-axis then the locus of th...

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  3. A circle touches x-axis and cuts off constant length 2p from y-axis t...

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  4. The equation of the circles which pass through the origin and makes in...

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  5. Equations of circles which touch both the axes and whose centres are a...

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  6. The equation of the circle whose radius is 5 and which passes through ...

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  7. The length of chord of contact of the point (3,6) with respect to the ...

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  8. The distance between chord of contact of the circle x^(2)+y^(2)+2gx+2f...

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  9. Locus of the point of intersection of tangents at the extremeties of a...

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  10. The locus of the point, whose chord of contact w.r.t the circle x^(2)...

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  11. The straight line x-2y+1=0 intersects the circle x^(2)+y^(2)=25 in poi...

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  12. Tangents are drawn to the circle x^(2)+y^(2)=9 at the points where it ...

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  13. If O is the origin and OP, OQ are the tangents to the circle x^(2)+y^(...

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  14. The polar of a given point which respect to any one of the circles x^(...

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  15. The polars of two points A(1,3), B(2,-1) w.r.t to circle x^(2)+y^(2)=9...

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  16. The polars of points (1,7) (2,6) and (t,5) with respect to a circle co...

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  17. Each side of DeltaABC is the polarof the opposite vertex with respect ...

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  18. The pole of a straight line with respect to the circle x^(2)+y^(2)=a^(...

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  19. Assertion (A): The polar of centre of circle w.r.t same circle does no...

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  20. Assertion (A): A line through the point P(5,10) cut the line x+2y=5 at...

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