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The equation x^(2) + y^(2) + 2gx + 2fy ...

The equation ` x^(2) + y^(2) + 2gx + 2fy + c = 0 ` represents a circle of non-zero radius , if

A

` g^(2) + f^(2) gt c `

B

`g^(2) + f^(2) lt c `

C

`g^(2) gt f^(2) + c `

D

`g^(2) lt f^(2) + c `

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The correct Answer is:
A
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Equation of circle which passes through (-1,2) and (1,2) , and touc...

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  2. If a square is inscribed in the circle x^(2) + y^(2) + 2gx +2fy + c= ...

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  3. The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle o...

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  4. If r(1), r(2) " and " r(3) are the radii of the circle x^(2) + y^(2)...

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  5. If the lines 5x - 12y = 5 " and " 10x - 24y + 3 = 0 are tangents ...

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  6. If the circle described on the join of (2,3) and (3,a) as a diameter p...

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

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  8. Area of the circle x^(2) + y^(2) + 2 cos theta sin phi * x + 2 s...

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  9. The sides of a square are x=2,x=3,y=1andy=2. Find the equation of the ...

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

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  11. If the two circle x^(2) + y^(2) - 3x + ky - 5 = 0 and 4x^(2) ...

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  12. Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mi...

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  13. Find the equation of the circle passing through the origin and the ...

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  14. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

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  15. Area of a circle in which a chord of length sqrt(2) makes an angle (pi...

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  16. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

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  17. Centre of the circle toucing y-axis at (0,3) and making an intercept 2...

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  18. Circle x^(2) + y^(2) - 8x + 4y + 4 = 0 touches

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  19. Abscissas of two points P and Q are roots of the equation x^(2) + 2x ...

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  20. The radius of the circle sqrt(1 + a^(2)) (x^(2) + y^(2)) - 2bx - 2...

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