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If x^2/(sec^2 theta) +y^2/(tan^2 theta)=...

If `x^2/(sec^2 theta) +y^2/(tan^2 theta)=1` represents an ellipse with eccentricity e and length of the major axis l then

A

e is independent of `theta`

B

l is independent of `theta`

C

el is independent of `theta`

D

`l^2-e^2` is independent of `theta`

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-ELLIPSE-Exercise (Level 1 Single Correct)
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  5. The eccentricity of an ellipse, with centre at the origin is 2/3. If o...

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  6. The locus of the foot of the perpendicular from the foci an any tangen...

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  7. If the ellipse x^2/a^2+y^2/b^2=1 and the circle x^2+y^2=r^2 where bltr...

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  8. The product of the perpendiculars from the foci of the ellipse x^2/14...

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  10. If the normal at P(2(3sqrt(3))/2) meets the major axis of ellipse (...

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  11. Chord of the ellipse x^2/25+y^2/16=1 whose middle point is (1/2, 2/5) ...

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  12. If one extremity of the minor axis of the ellipse x^2/a^2+y^2/b^2=1 a...

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  13. The length of the major axis of the ellipse (5x-10)^2 +(5y+13)^2 = (3x...

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  14. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

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  15. Let P be any point on a directrix of an ellipse of eccentricity e, S b...

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  16. If a tangent of slope 2 of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 is no...

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  17. If a line 3 px + 2ysqrt(1-p^2) =1 touches a fixed ellipse E for all p ...

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  18. If a and b are the natural numbers such that a + b = ab, then equation...

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  19. If x^2/(sec^2 theta) +y^2/(tan^2 theta)=1 represents an ellipse with e...

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  20. 3x^2+4y^2-6x+8y+k=0 represents an ellipse with eccentricity 1/2,

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