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If the latus rectum of an hyperbola be 8...

If the latus rectum of an hyperbola be 8 and eccentricity be `(3)/( sqrt5)` the the equation of the hyperbola is

A

`4x^(2)-5Y^(2)=100`

B

`5x^(2)-4Y^(2)=100`

C

`4x^(2)+5Y^(2)=100`

D

`5x^(2)+4Y^(2)=100`

Text Solution

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The correct Answer is:
A
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MOTION-HYPERBOLA-EXERCISE-1 (SECTION - A)
  1. The eccentricity of the hyperbola 4x^2 – 9y^2 - 8x = 32 is

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  2. The locust of the point of intersection of lines sqrt3x-y-4sqrt(3k)=0 ...

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  3. If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqr...

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  4. If the centre, vertex and focus of a hyperbola be (0,0), (4,0) and (6,...

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  5. The equation of the hyperbola whose foci are (6, 5), (–4, 5) and eccen...

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  6. The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its f...

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  7. Given the family of hyperbolas x^(2)/(cos^(2)alpha)-y^(2)/sin^(2)alpha...

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  8. Locus of the middle points of the parallel chords with gradient m of t...

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  9. The equation of the tangent lines to the hyperbola x^(2)-2y^(2)=18 whi...

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  10. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

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  11. The equation of the common tangent to the parabola y^(2) = 8x and the ...

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  12. Let P(a sectheta, btantheta) and Q(aseccphi , btanphi) (where theta+...

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  13. If the normal to the rectangular hyperbola xy = c^2 at the point 't' m...

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  14. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

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  15. The equation of chord of the hyperbola 25x^2- 16y^2 =400 which is bise...

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  16. The ellipse 4x^(2) + 9y^(2) = 36 and the hyperbola 4x^(2) – y^(2) = 4 ...

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  17. The asymptotes of the hyperbola xy–3x–2y=0 are

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  18. If the product of the perpendicular distances from any point on the hy...

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