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Find the eccentricity of the hyperbola w...

Find the eccentricity of the hyperbola whose latusrectum is half of its transverse axis.

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(i) Find the eccentricity of hyperbola whose latus rectum is half of its transverse axis. (ii) Prove that the straight lines (x)/(a)-(y)/(b)=mand(x)/(a)-(y)/(b)=(1)/(m) always meet at a hyperbola, where 'm' is a constant.

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Find the eccentricity of the ellipse whose latus rectum is (i) half its major axis, (ii) half its minor axis.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The difference of the focal distances of anypoint on the hyperbola is ...

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