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(i) Find the equation a circle passing t...

(i) Find the equation a circle passing through the point `(2+3costheta,1+3sintheta)` where `'theta'` is a parameter.
(ii) Prove that the equations `x=atheta+bsintheta and y=asintheta-bcostheta` represents a circle.

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The correct Answer is:
`(x-2)^(2)+(y-1)^(2)=3^(2)`
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NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11A
  1. The end points of a diameter of a circle are (1,-1) and (3,5). Find th...

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

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  3. (i) Find the equation of a circle passes through the origin and cuts t...

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

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

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  6. Find the equation of a circle with centre (1,-3) and touches the line ...

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  7. Find the equation of circle passing through the point (2,1), (1,2) and...

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  8. Find the equation of the circle which passes through the points (3,-2)...

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  9. Find the equation of the circle passing through the points (1,-2)a ...

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  10. Find the equation of circle passing through the points (0,5) and (6,1)...

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  11. Find the equation of circle passing through the points (1,-2) and (3,-...

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  12. Find the equation of a circle circumscribing the triangle whose sides ...

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  13. Find the equation of a circle passing through the points (-1,5) and (-...

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  14. (i) Find the equation a circle passing through the point (2+3costheta,...

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  15. Find the parametic equation of the circle x^(2)+y^(2)=25 in terms of p...

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  16. Find the position of the point (3,-4) with respect to the circle x^(2)...

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  17. Find the position of the point (1,-2) with respect to the circle x^(2)...

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  18. Find the co-ordinates of the mid-point of the chord intersect by the l...

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  19. If y=2x is a chord of the circle x^2+y^2-10 x=0 , find the equation of...

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  20. The abscissa of two points A and B are the roots of the equation x^(2)...

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