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Write the eccentricity of the hyperbola ...

Write the eccentricity of the hyperbola `9x^2-16 y^2=144.`

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To find the eccentricity of the hyperbola given by the equation \(9x^2 - 16y^2 = 144\), we can follow these steps: ### Step 1: Rewrite the equation in standard form We start with the given equation: \[ 9x^2 - 16y^2 = 144 \] To rewrite it in standard form, we divide every term by 144: ...
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RD SHARMA ENGLISH-HYPERBOLA-All Questions
  1. In each of the following find the equations of the hyperbola satisfyin...

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  2. In each of the following find the equations of the hyperbola satisfyin...

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  3. Write the eccentricity of the hyperbola 9x^2-16 y^2=144.

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  4. Find the eccentricity of the hyperbola whose latusrectum is half of it...

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  5. Write the coordinates of the foci of the hyperbola 9x^2-16 y^2=144.

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  6. Write the equation of the hyperbola of eccentricity sqrt(2) if it is k...

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  7. If the foci of the ellipse (x^2)/(16)+(y^2)/(b^2)=1 and the hyperbola ...

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  8. Write the length of the latus rectum of the hyperbola 16 x^2-9y^2=144.

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  9. If the latus rectum through one focus subtends a right angle at the fa...

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  10. Write the distance between the directrices of the hyperbola x=8s e cth...

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  11. Write the equation of the hyperbola whose vertices are (+-3,0) and foc...

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  12. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^...

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  13. Equation of the hyperbola whose vertices are (+-3,0) and foci at (+-5,...

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  14. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^2...

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  15. The distance between the directrices of the hyperbola x=8s e ctheta,\ ...

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  16. The equation of the conic with focus at (1,-1) directrix along x-y+1=0...

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  17. The eccentricity of the conic 9x^2-16 y^2=144 is a.5/4 b. 4/3 c. 4/5 d...

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  18. A point moves in a plane so that its distance PA and PB from who fixed...

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  19. The eccentricity of the hyperbola whose latus rectum is half of its ...

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  20. The eccentricity of the hyperbola x^2-4y^2=1 is a.(sqrt(3))/2 b. (s...

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