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Find the equations of the circles the en...

Find the equations of the circles the end points of whose diameter are as follows :
(i) (0,6) and (6,0)
(ii) (-1,3) and (2,4)
(iii) (A+b,a-b) and (a-b,a+b)
(iv) (0,0) and (2,2)

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The correct Answer is:
(i) `x^(2)+y^(2)-6x-6y=0` , (ii) `x^(2)+y^(2)-4x-8y-214=0` (iii) `x^(2)+y^(2)-2ax-2ay+2(a^(2)-b^(2))=0` , (iv) `x^(2)+y^(2)-2x-2y=0`
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NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11A
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  2. Find the distance between the centres of the circles x^(2)-y^(2)+8x+10...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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