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(i) Find the equation of a circle concen...

(i) Find the equation of a circle concentric with the circle `x^(2)+y^(2)-8x+6y-10=0` and passes through the point (-2,3).
(ii) Find the equation of circle concentric with the circle `x^(2)+y^(2)-4x-8x-6=0` and whose radius is three times the radius of this circle.

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The correct Answer is:
(i) `x^(2)+y^(2)-8x+6y-47=0` , (ii) `x^(2)+y^(2)-4x-8y-214=0`
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NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11A
  1. If the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+aby+c=0 touch each o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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