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If the equation 3x^(2) + 3y^(2) + kxy +...

If the equation ` 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 `
represents a circle , then the radius of this circle is

A

`(2)/(3)`

B

`(3)/(2)`

C

`(sqrt(17))/(2)`

D

`(sqrt(17))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Equation of circle which touches line x = y at the origin , and passe...

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  2. If equation of a circle is (4a - 3) x^(2) +ay^(2) + 6x - 2y + 2 = 0 ,...

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  3. If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 rep...

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  4. Equation x^(2) + y^(2) - 8x + 6y + 25 = 0 represents

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  5. If lines 12 x + 5y + 16 = 0 " and " 12 x + 5y - 10 = 0 both touch ...

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  6. Abscissas and ordinates of points A and B are roots of equation x^(...

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  7. Two points on the circle x^(2) + y^(2) - 12x - 16y + 75 = 0 , one ...

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  8. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

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  9. If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = ...

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  10. If lines 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 touch the same c...

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  11. If circles x^(2) + y^(2) - 3x + ky - 5 = 0 " and " 4x^(2) + 4y^(2) - ...

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  12. Centre of circle , passing through (0,0) ,(a,0) and (0,b) , is

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  13. If line 2x - y + k = 0 is a diameter of circle x^(2) + y^(2) + 6...

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  14. Determine equation of the circle whose diameter is the chord x + y = 1...

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  15. If (h,k) is the centre of a circle passing through the origin then its...

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  16. If circles (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = ...

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  17. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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

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  19. Find the equation of the circle which touches the circle x^(2) + y^(...

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  20. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

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