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If (alpha, beta) is the centre of a circ...

If `(alpha, beta)` is the centre of a circle passing through the origin then its equation is

A

`x^2 + y^2 - alpha x + beta y = 0`

B

`x^2 + y^2 + 2alpha x + 2beta y = 0`

C

`x^2 + y^2 - 2 alpha x - 2 beta y = 0`

D

`x^2 + y^2 - 2 alpha x + 2beta y + alpha^2 + beta^2 = 0`

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-CONIC SECTIONS -EXERCISE - CIRCLE
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  2. If one end of a diameter of a circle is (3,5) and the centre is (2,3) ...

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  3. If one end of a diameter of a circle2x^2 + 2y^2 - 4x - 8y + 2 = 0 is (...

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  4. The circle x^2 + y^2 - 3x - 4y + 2 = 0 cuts the x axis at the points

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  5. The ends of diameter of a circle are (2,3) and (6,5). The centre of th...

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  6. The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

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  7. The circle x^2 + y^2 - 4x + 6y + c = 0 touches x axis if

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  8. The circle x^2 + y^2 - 8x + 4y + 4 = 0 toches

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  9. The equation of a circle of radius r and touching both the axes is

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  10. If (alpha, beta) is the centre of a circle passing through the origin ...

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  11. The circle x^2 + y^2 - 8x + 4y + 4 = 0 toches

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  12. The intercept on the line y = x by the circel x^2 + y^2 - 2x = 0 is AB...

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  13. Two vertices of an equilateral triangle are (-1,0) and (1,0) then its ...

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  14. A circle touches the y axis at (0,2) and its x intercept equal to 3 u...

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  15. The lines 2x + 3y + 1 = 0 and 3x - y - 4 = 0 lie along the diameters o...

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  16. The radius of the circle passing through the point (6,2) and two of wh...

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  17. The radius of the circle having centre at (2,1) whose one of the chord...

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  18. The circle x^2 + y^2 - 8x + 4y + 4 = 0 toches

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