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A circle passes thorugh A(2,1) and touch...

A circle passes thorugh A(2,1) and touches y-axis then the locus of its centre is

A

`(y+1)^(2)=4(x+1)`

B

`(x+1)^(2)=4(y+1)`

C

`(y-1)^(2)=4(x-1)`

D

`(x-1)^(2)=4(y+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. The centre of the circle touching the y-axis at (0,3) and making an in...

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  2. A variable circle passes through the fixed point (2,0) and touches the...

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  3. A circle passes thorugh A(2,1) and touches y-axis then the locus of it...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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