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Let 0 lt theta lt (pi)/2. If the eccentr...

Let `0 lt theta lt (pi)/2`. If the eccentricity of the hyperbola `(x^(2))/(cos^(2)theta)-(y^(2))/(sin^(2)theta)=1` is greater ten 2, then the length of its latus rectum lies in the interval,

A

`3,infty`

B

`3//2,2`

C

2,3

D

`1,3//2`

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MCGROW HILL PUBLICATION-HYPERBOLA-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1; (0<alpha<pi/4)

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  2. The equation of the hyperbola whose foci are (-2, 0) and (2,0) and ecc...

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  3. A tangent to the hyperbola meets x-axis at P and y-axis at Q. Lines P...

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  4. A common tangent to the conics x^2=6y and 2x^2-4y^2=9 is

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  5. If P(3 sec theta,2 tan theta) and Q(3 sec phi , 2 tan phi) where theta...

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  6. The tangent at an extremity (in the first quadrant) of latus rectum of...

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  7. An ellipse passes through the foci of the hyperbola, 9x^2 - 4y^2 = 36 ...

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  8. The eccentricity of the hyperbola whose length of the latus rectum is ...

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  9. A hyperbola whose transverse axis is along the major axis of the conic...

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  10. Let a and b respectively be the semi-transverse and semi-conjugate axe...

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  11. The locus of the point of intersection of thestraight lines tx-2y-3t=...

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  12. A hyperbola passes through the point P(sqrt(2),sqrt(3)) and has foci a...

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  13. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

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  14. If the tangent drawn to the hyperbola 4y^2=x^2+1 intersect the co-ordi...

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  15. If a hyperbola has length of its conjugate axis equal to 5 and the dis...

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  16. Equation of a common tangent to the parabola y^(2)=4x and the hyperbol...

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  17. Let 0 lt theta lt (pi)/2. If the eccentricity of the hyperbola (x^(2))...

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  18. The equation of tangent to hyperbola 4x^2-5y^2=20 which is parallel to...

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  19. A hyperbola has its centre at the origin, passes through the point (4,...

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  20. Let S={(x,y) in R^(2):(y^(2))/(1+r)-(x^(2))/(1-r)=1}, where r ne pm 1....

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