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The general equation ax^2+2hxy+by^2+2gx+...

The general equation `ax^2+2hxy+by^2+2gx+2fy+c=0` represents a circle if

A

a=b, h=0

B

a=b=0, h ne 0

C

`a ne b, h=0`

D

None of these

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JBD PUBLICATION-CONIC SECTIONS-EXAMPLE
  1. The general equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a circle if

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  2. In each of the following find the equation of the circle with centre (...

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  3. Find the equation of the circle with centre (2, 2) and passes through ...

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  4. Find the equation of a circle whose centre is (3,-2) and has an area ...

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  5. Find the equation of a circle having centre at point C(-2,3) and touch...

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  6. In each of the following find the centre and radius of the circles (x+...

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  7. In each of the following circles, find the centre and radius. x^2+y^...

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  8. Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 + ...

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  9. In each of the following find the coordinates of the focus , axis of t...

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  10. Find the equation of the parabola that satisfies given conditions : ...

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  11. Find the coordinates of a point on the parabola y^2=18x, where the ord...

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  12. Find the equation for ellipse that satisfies the given conditions Ve...

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  13. Find the eqation for the ellipse that satisfies the given conditions :...

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  14. Find the equation for the elllipse that satisfy the given conditions: ...

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  15. Find the equations of the hyperbola satisfying the given conditions. ...

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  16. Find the equations of a circle having radius 5 units and the centre as...

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  17. LL' is the latus rectum of a parabola x^2=-8y. Find the coordinates of...

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  18. Find the area of the triangle formed by the lines joining the vertex o...

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  19. Find the equation of a hyperbola whose vertices lie on y-axis, centre ...

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  20. Find the equation of the hyperbola satisfying the given conditions. Fo...

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  21. In each of the following, find the equations of the hyperbola satisfyi...

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