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the equation ax^(2)+ 2hxy + by^(2) + ...

the equation `ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0` represents an ellipse , if

A

`Delta =0,h^(2) lt ab`

B

`Delta ne 0, h^(2) lt ab`

C

`Delta ne 0, h^(2) gt ab`

D

`Delta ne 0, h^(2) = ab`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. the equation ax^(2)+ 2hxy + by^(2) + 2gx + 2 fy + c=0 represents ...

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  2. the equation of the ellipse whose foucs is S(1,-1) directrix th...

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  3. Find the equation of the ellipse (referred to its axes as the axes ...

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  4. Find the equation to the ellipse (referred to its axes as the axes of ...

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  5. The eccentricity of the ellipse 9x^2+5y^2-30 y=0 is

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  6. if the tangent at the ends B and B' of minor axis at L and L' ...

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  7. If A and B are two fixed points and P is a variable point such that P...

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  8. the length of the latusrectum of the ellipse 3x^(2) + y^(2) = 12 ....

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  9. Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose la...

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  10. the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))=1 whose l...

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  11. If the focal distance of an end of the minor axis of an ellipse (re...

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  12. if 2y = x and 3y + 4x=0 are the equations of a pair of conjuga...

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  13. if theta is a parameter then x=a ( sin theta + cos theta), y...

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  14. The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 a...

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  15. Find the equation for the ellipse that satisfies the given conditions...

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  16. The eccentricity of the curve x^(2)-4x+4y^(2)=12 is

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  17. The parametric representation of a point on the ellipse whose foci are...

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  18. if S and S are two foci of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

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  19. The eccentricity of the ellipse represented by 25 x^2+16 y^2-150 x-175...

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  20. the length of the latusrectum of the ellipse 5x^(2) + 9x^(2)=45...

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