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If the length of the latusrectum of the ...

If the length of the latusrectum of the ellipse `x^(2) tan^(2) theta + y^(2) sec^(2) theta = 1` is 1/2, then `theta =`

A

`pi//12, 5pi//12`

B

`pi//6, 5pi//6`

C

`7pi//12`

D

none of these

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A
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OBJECTIVE RD SHARMA ENGLISH-ELLIPSE-Chapter Test
  1. For the ellipse 3x^(2) + 4y^(2) + 6x - 8y - 5 = 0 the eccentrically, i...

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  2. Let S, S' be the focil and BB' be the minor axis of the ellipse (x^(2)...

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  3. If the length of the latusrectum of the ellipse x^(2) tan^(2) theta + ...

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  4. if vertices of an ellipse are (-4,1),(6,1) and x-2y=2 is focal chord t...

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  5. If (-4, 3) and (8, 3) are the vertices of an ellipse whose eccentricit...

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  6. If the chord joining points P(alpha) and Q(beta) on the ellipse ((x^...

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  7. If P(alpha,beta) is a point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1...

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  8. The tangent at any point P on the ellipse meets the tangents at the ve...

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  9. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

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  10. The equation of the locus of the poles of normal chords of the ellipse...

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  11. The locus of mid-points of focal chords of the ellipse (x^2)/(a^2)+(y^...

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  12. The locus of a point whose polar with respect to the ellipse (x^2)/(a^...

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  13. if the chord of contact of tangents from a point P to the hyperbola x...

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  14. The locus of the poles of tangents to the auxiliary circle with respec...

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  15. The locus of the poles of tangents to the director circle of the ellip...

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  16. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

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  17. If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes inte...

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  18. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

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  19. If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the no...

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  20. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

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