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Find the centre and radius of the circle...

Find the centre and radius of the circle
`3x^(2)+(a+1)y^(2)+6x-9y+a+4=0`.

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(5))/(2)`
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FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-II-Additional Question Solved
  1. Find the centre and radius of the circle 3x^(2)+(a+1)y^(2)+6x-9y+a+4...

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  2. find the equation of the circle with centre (2,3) and passing throu...

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  3. Find the equation of a circle of radius 5 whose centre lies on x-axis ...

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  4. Find the centre and radius of the following circles: x^(2)+y^(2)-2x+...

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  5. Find the equation of the circles whose radius is 4 and whish is concen...

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  6. Show that the four points (1,0), (2,-7), (8,1) and (9,-6) are concycli...

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  7. Find the equation of a circle which passes through the points (1,-2) a...

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  8. Find the equation (s) of the circle passing through the points (1,1) a...

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  9. Find the equation of the ellipse if centres is (3,-4) one of the foci ...

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  10. Find the equation of the hyperbola if centre (1,-2), length of the tra...

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  11. Find axis, vertex focus and equation of directrix for y^(2)+8x-6y+1=0

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  12. Find axis, Vertex, focus and equation of directrix for x^(2)-6x-12y-3=...

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  13. Find the centre, eccentricity, foci, vertices of ellipse x^(2)+4y^(2)-...

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  14. Find the eccentricity, centre, foci, vertices of 9x^(2)+4y^(2)=36

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  15. Identify the type of conic section for each of the following equations...

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  16. Find the eccentricity, centre, foci and vertices of the following hype...

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  17. Identify the type of conic section for each of the following equations...

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  18. Identify the type of conic section for each of the following equations...

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  19. Identify the type of conic section for each of the following equations...

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  20. Identify the type of conic section for each of the following equations...

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  21. Identify the type of conic section for each of the following equations...

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