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If e and e(1), are the eccentricities of...

If `e` and `e_(1)`, are the eccentricities of the hyperbolas `xy=c^(2)` and `x^(2)-y^(2)=c^(2)`, then `e^(2)+e_(1)^(2)` is equal to

A

1

B

4

C

6

D

8

Text Solution

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The correct Answer is:
b
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FIITJEE-HYPERBOLA-SOLVED PROBLEMES (OBJECTIVE)
  1. The eccentricity of the conic 9x^2-16 y^2=144 is 5/4 b. 4/3 c. 4/5 d. ...

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  2. If e and e(1), are the eccentricities of the hyperbolas xy=c^(2) and x...

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  3. The locus of the midde points ofchords of hyperbola 3x^2-2y^2+4x -6y=0...

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  4. The line lx + my+n=0 will be a normal to the hyperbola b^2x^2-a^2y^2...

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  5. Find the point on the hyperbola x^2/24 - y^2/18 = 1 which is nearest t...

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  6. For a hyperbola, the foci are at (pm 4, 0) and vertices at (pm 2 , 0) ...

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  7. The equation of the line passing through the centre of a rectangular h...

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  8. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 me...

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  9. The point of intersection of the curve whose parametrix equations are ...

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  10. If a rectangular hyperbola (x-1)(y-2)=4 cuts a circle x^(2)+y^(2)+2gx+...

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  11. The equation (x-alpha)^2+(y-beta)^2=k(lx+my+n)^2 represents

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  12. The angle between the hyperbola xy = c^(2) " and " x^(2) - y^(2) = a^(...

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  13. If (asectheta;btantheta) and (asecphi; btanphi) are the ends of the fo...

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  14. The equation 16x^(2) - 3y^(2) - 32x - 12y - 44 = 0 represents a hyper...

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  15. Locus of mid point of AB is

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  16. If the eccentric angle of point on the hyperbola where the common tang...

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  17. If the eccentric angle of the point of contact of common tangent on th...

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  18. Angle subtended by AB at centre the hyperbola is

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  19. Let xy - 2x - y + 2 = 0 are the asymptotes of a hyperbola H, passing ...

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  20. If four points be taken on a rectangular hyperbola such that the chord...

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