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A circle touches the x-axis and also tou...

A circle touches the x-axis and also touches the circle with centre at (0,3) and radius 2. The locus of the centre of the circle is

A

an ellipse

B

a circle

C

a hyperbola

D

a parabola

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Verified by Experts

The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1D(Angle Between Circles)
  1. The locus of the centre of a circle which touches externally the circl...

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  2. The centres of those circles which touch the circle, x^(2)+y^(2)-8x-8y...

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  3. A circle touches the x-axis and also touches the circle with centre at...

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  4. Let C be the circle with centr at (1,1) and radius =1. If T is the cir...

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  5. The circels whose equations are x^(2)+y^(2)+10x-2y+22=0 and x^(2)+y^(2...

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  6. The number of common tangent to the circles x^(2)+y^(2)+2x+8y-23=0, x^...

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  7. The number of common tangents to the circles x^(2)+y^(2)=4, x^(2)+y^(2...

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  8. The number of common tangents to the circles x^(2)+y^(2)=0, x^(2)+y^(2...

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  9. The number of common tangents that can be drawn to the circles x^(2)+y...

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  10. The number of common tangentss to the circles x^(2)+y^(2)-8x+2y=0 and ...

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  11. The number of common tangents to the circle x^(2)+y^(2)-4x-6y-12=0 and...

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  12. The condition that the circles x^(2)+y^(2)+2ax+2by+c=0, x^(2)+y^(2)+2b...

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  13. The two circles (x-a)^(2)+y^2=c and (y-b)^(2)+x^(2)=4c have only one r...

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  14. If the circles x^(2) +y^(2) - 6x – 8y +c = 0 and x^(2) + y^(2) =9 have...

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  15. If only one common tangent can be drawn to the circles x^2+y^2-2x-4y-2...

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  16. The internal centre of similitude of the two circles x^(2)+y^(2)+6x-2y...

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  17. The external centre of similitude of the two circles x^(2)+y^(2)-2x-6y...

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  18. The centres of similutude of the circles x^(2)+y^(2)-2x-6y+6=0, x^(2)+...

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  19. Find the direct common tangents of the circles x^(2) + y^(2) +22x -4y...

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  20. The equations to the transverse common tangents to the circles x^2+y^2...

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