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If the latus rectum of the ellipse x^(2)...

If the latus rectum of the ellipse `x^(2)tan^(2)alpha+y^(2)sec^(2)alpha=1` is 1/2 then `alpha=`

A

`(pi)/(2)`

B

`(pi)/(6)`

C

`(pi)/(3)`

D

`(pi)/(12)`

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The correct Answer is:
A
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AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The Foci of the ellipse (x^(2))/(16)+(y^(2))/(25)-1 are

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  2. The length of the latusrectum 16x^(2)+25y^(2) = 400 is

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  3. If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha...

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  4. If PSP' is a focal chord of the ellipse (x^(2))/(7)+(y^(2))/(9)=1 then...

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  5. P is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1; S,S^(1) are ...

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  6. The distance between the focii of the ellipse x = 3 cos theta, y = 4 s...

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  7. The equation of the major axis of the ellipse (x-1)^(2)/(9)+(y-6)^(2...

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  8. The equation of one of the latusrectum of (x-3)^(2)/(5)+(y-5)^(2)/(9)...

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  9. The eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25) =1 is

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  10. The eccentricity of the ellipse (x-1)^(2)/(16)+(y-2)^(2)/(9)=1 is

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  11. The eccentricity of the ellipse 9x^(2)+25y^(2)-18x-100y+20=0 is

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  12. If a line (x)/(8)+(y)/(5)=1 meets the ellipse on x - axis and the lin...

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  13. If the length of the major axis is n times the minor axis of the ellip...

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  14. The distance between the foci of an ellipse is equal to half of its mi...

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  15. If the minor axis of an ellipse subtends an angle 60^(@) at each focu...

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  16. The eccentricity of an ellipse i s sqrt(3)/(2) its length of latus r...

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  17. If e(1) and e(2) are the eccentricites of (x^(2))/(a^(2))+(y^(2))/(b...

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  18. The equation of the tangent to the ellipse 9x^(2)+16y^(2)=144 at the ...

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  19. If x -y+ k = 0 is a tan gen t to the ellip se 9x^(2)+16y^(2)=144 then ...

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  20. The values that m can take so that the straight line y=4x+m touches th...

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