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Find the equation of a circle which touc...

Find the equation of a circle which touches the X-axis and whose centre is `(asintheta,acostheta)`.

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The correct Answer is:
`x^(2)+y^(2)-2axsintheta-2aycostheta+a^(2)sin^(2)theta=0`
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NAGEEN PRAKASHAN ENGLISH-CONIC SECTION-Exercise 11A
  1. (i) Find the equation of a circle passes through the point (4,3) and w...

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  2. Find the equation of a circle passes through the point (1,-1) and whos...

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  3. Find the equation of a circle which touches the X-axis and whose centr...

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  4. Find the equation of a circle which touches the Y-axis and whose centr...

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  5. (i) Find the equation of a circle which touches both the axes and whos...

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  6. Find the centre and radius of each of the following circle : (i) x^(...

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  7. Find the diameter of the circle 2x^(2)+2y^(2)-6x-9=0.

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  8. Prove that the radii of the circles x^(2)+y^(2)=1,x^(2)+y^(2)-2x-4y-11...

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  9. Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 to...

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  10. Prove that the circles x^(2)+y^(2)+2ax+ay-3a^(2)=0andx^(2)+y^(2)-8ax-6...

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  11. If the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+2by+c=0 touch each o...

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  12. (i) Find the point at which the circle x^(2)+y^(2)-5x+2y+6=0, meets th...

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  13. (i) Find the equation of a circle concentric with the circle x^(2)+y^(...

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  14. Find the distance between the centres of the circles x^(2)+y^(2)+8x+10...

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  15. Find the equations of the circles the end points of whose diameter are...

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  16. The end points of a diameter of a circle are (1,-1) and (3,5). Find th...

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  17. Find the equation of a circle passes through the origin and cuts 'a' i...

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  18. Show that equations of a circle with end points of diameter (x(1),y(1)...

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  19. Find the equation of a circle whose centre is (2,-1) and touches the l...

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  20. Find the equation of circle with Centre C (1,- 3) and tangent to 2 x ...

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