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The length of the latus rectum of the hy...

The length of the latus rectum of the hyperbola `25x^(2)-16y^(2)=400` is

A

`8//3`

B

`9//2`

C

`11//3`

D

`25//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-HYPERBOLA-Practice Exercise
  1. The equation of the latusrecta of the hyperola ((x-4)^(2))/(16)-((y-3)...

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  2. The length of the conjugate axis of the hyperbola 9x^(2) -16y^(2) - 1...

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  3. The length of the latus rectum of the hyperbola 25x^(2)-16y^(2)=400 is

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  4. The foci of the hyperbola 9x^(2) -16y ^(2)+18x +32 y- 151=0 are

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  5. The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x ...

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  6. The equation of directrices of the hyperbola 5x^(2) -4y^(2) -30x -8y ...

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  7. The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18...

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  8. If sec theta is the eccentricity of a hyper bola then the eccentricity...

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  9. The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

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  10. If the latusrectum subtends a right angle at the centre of the hyperbo...

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  11. The eccentricity of the hyperola whose latus rectum subtends a right a...

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  12. z=x+iy is a conplex number. If the imaginary part of z^(2) is 32. then...

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  13. In the line 3x-y= k is a tangent to the hyperbola 3x^(2) -y^(2) =3 ...

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  14. If the line x Cos alpha+y Sin alpha=p touches x^(2)/a^(2)-y^(2)/b^(2)=...

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  15. The equations of the tangents to the hyperbola 2x^(2) -3y^(2) =6 whic...

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  16. The number of tangents to x^(2)//25-y^(2)//9=1 through (5,0) is

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  17. The sum and product of the slopes of the tangents to the hyperbola x^(...

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  18. The slopes of the tangents drawn form (0,2) to the hyperbola 5x^(2)-y^...

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  19. The point of contact of 5x+6y+1=0 to the hyperbola 2x^(2)-3y^(2)=2 is

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  20. The condition that the line y=mx+c may be a tangent to (y^(2))/(a^(2))...

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