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If the equation ax^(2)+by^(2)+2hxy+2g x+...

If the equation `ax^(2)+by^(2)+2hxy+2g x+2fy+c=0` represents a circle, the condition will be

A

a=b and c=0

B

f=g and h=0

C

a=b and h=0

D

f=g and c=0

Text Solution

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The correct Answer is:
C
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ML KHANNA-THE CIRCLE -Self Assessment Test
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  6. Equation of a circle passing through origin is x^(2) + y^(2) - 6x + 2...

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  7. The circle x^(2)+y^(2)+ 4x - 7y+12=0 cuts an intercept on y-axis equal...

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  8. AB is a diameter of a circle and C is any point on the circumference o...

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  9. Centre of a circle passing through point (0,1) and touching the curve ...

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  10. The locus of the mid-points of a chord of the circle x^(2)+y^(2)=4 whi...

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  11. What is slope?

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  12. The equation of the circle passing through (4,5) having the centre at ...

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  13. The equation of tangents drawn from the origin to the circle x^(2)+y^(...

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  14. Find the angle between the two tangents from the origin to the circle ...

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  15. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

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  16. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

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  17. If (x,3) and (3,5) are the extermities of a diameter of a circle with ...

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  18. If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area...

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  19. The point diametrically opposite to the point P(1,0) on the circle x^(...

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