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The transverse axis of a hyperbola is of...

The transverse axis of a hyperbola is of length `2a` and a vertex divides the segment of the axis between the centre and the corresponding focus in the ratio `2:1.` The equation of the hyperbola is

A

`4x^(2)-5y^(2)=4a^(2)`

B

`4x^(2)-5y^(2)=5a^(2)`

C

`5x^(2)-4y^(2)=4a^(2)`

D

`5x^(2)-4y^(2)=5a^(2)`

Text Solution

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The correct Answer is:
D
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ARIHANT MATHS ENGLISH-HYPERBOLA-Exercise For Session 1
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  4. The eccentricity of the hyperbola whose latus-rectum is 8 and length o...

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  6. The equation of the tangent parallel to y-x+5=0" drawan to "(x^(2))/(3...

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  7. If e and e' are the eccentricities of the hyperbola (x^(2))/(a^(2))-(y...

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  8. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

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  9. The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

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  13. Find the equation of the hyperbola whose foaci are (0, 5) and (-2, 5) ...

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  14. Prove that the straight lines x/a-y/b =m and x/a+y/b=1/m, where a and ...

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  15. Find the centre, eccentricity and length of axes of the hyperbola 3x^...

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  16. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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