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If e1a n d\ e2 are respectively the ecce...

If `e_1a n d\ e_2` are respectively the eccentricities of the ellipse `(x^2)/(18)+(y^2)/4=1` and the hyperbola `(x^2)/9-(y^2)/4=1,` then the relation between `e_1a n d\ e_2` is a.`2e_1 ^2+e_2 ^2=3` b. `e_1 ^2+2e_2^ 2=3` c. `2e_1^ 2+e_2 ^2=3` d. `e_1 ^2+3e_2 ^2=2`

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RD SHARMA ENGLISH-HYPERBOLA-All Questions
  1. If e1a n d\ e2 are respectively the eccentricities of the ellipse (x^...

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

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

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

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

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

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

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

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

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  11. The foci of the hyperbola 9x^2-16 y^2=144 are a.(+-4,0) b. (0,+-4) c. ...

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  12. The distance between the foci of a hyperbola is 16 and its eccentricit...

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  13. If e1 is the eccentricity of the conic 9x^2+4y^2=36\ a n d\ e2 is the ...

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  14. If the eccentricity of the hyperbola x^2-y^2sec^2alpha=5\ i s\ sqrt(3)...

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  15. The equation of the hyperbola whose foci are (6,4) and (-4,4) and ec...

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  16. The length of the straight line x-3y=1 intercepted by the hyperbola x^...

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  17. The latus rectum of the hyperbola 16 x^2-9y^2=144 is a.16//3 b. 32//3 ...

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  18. The foci of the hyperbola 2x^2-3y^2=5 are a.(+-5sqrt(6),0) b. (+-5//6,...

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  19. The eccentricity of the hyperbola x=a/2(t+1/t), y=a/2(t-1/t) is a.sqrt...

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  20. The equation of the hyperbola whose centre is (6,2) one focus is (4,2)...

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