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The abscissae of two points A and B are ...

The abscissae of two points A and B are the roots of the equation `x^(2)+2ax-b^(2)=0` and their ordinates are the roots of the equation `x^(2)+2px-q^(2)=0`. Find the equation and the radius of the circle with AB as diameter.

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The abscissa of the two points A and B are the roots of the equation x^2+2a x-b^2=0 and their ordinates are the roots of the equation x^2+2p x-q^2=0. Find the equation of the circle with AB as diameter. Also, find its radius.

The abscissa of the two points A and B are the roots of the equation x^2+2a x-b^2=0 and their ordinates are the roots of the equation x^2+2p x-q^2=0. Find the equation of the circle with AB as diameter. Also, find its radius.

The abscissa of A and B are the roots of the equation x^(2) + 2ax -b^(2) =0 and their ordinates are the roots of the equation y^(2) + 2py -q^(2) = 0. The equation of the circle with AB as diameter is

The abscisae of A and B are the roots of the equation x ^(2) + 2ax -b ^(2) =0 and their ordinates are the roots of the equation y ^(2) + 2 py -q ^(2) =0. The equation of the circle with AB as diameter is

The abscissae of two points A and B are the roots of the equaiton x^2 + 2x-a^2 =0 and the ordinats are the roots of the equaiton y^2 + 4y-b^2 =0 . Find the equation of the circle with AB as its diameter. Also find the coordinates of the centre and the length of the radius of the circle.

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If the abscissae of points A, B are the roots of the equation, x^(2) + 2ax - b^(2) = 0 and ordinates of A, B are roots of y^(2)+2py- q^(2) = 0 , then find the equation of a circle for which overline(AB) is a diameter.

NAGEEN PRAKASHAN ENGLISH-CONIC SECTION-Exercise 11A
  1. Find the equations of the circles the end points of whose diameter are...

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

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

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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 circle with Centre C (1,- 3) and tangent to 2 x ...

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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 abscissae of two points A and B are the roots of the equation x^(2...

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