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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`

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OBJECTIVE RD SHARMA-HYPERBOLA-Chapter Test
  1. The equation of the tangent to the hyperbola 4y^(2)=x^(2)-1 at the poi...

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  2. The number of normals to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))...

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

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  4. A rectangular hyperbola whose centre is C is cut by any circle of radi...

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  5. The equation of the pair of asymptotes of the hyperbola xy-4x+3y=0, is

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  6. If the latus rectum of the hyperbola (x^(2))/(16)-(y^(2))/(b^(2))=1 is...

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  7. Chords of the hyperbola, x^2-y^2 = a^2 touch the parabola, y^2 = 4ax. ...

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  8. Tangents drawn from the point (c,d) to the hyperbola (x^(2))/(a^(2))-(...

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  9. If the tangent at (h, k) on b^2x^2-a^2y^2=a^2b^2 cuts the auxiliary ci...

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  10. If the chords of contact of tangents drawn from P to the hyperbola x^(...

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

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  12. The mid-point of the chord intercepted by the hyperbola 9x^(2)-16y^(2)...

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  13. Locus of P such that the chord of contact of P with respect to y^2=4ax...

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  14. C is the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 The tangen...

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  15. If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2), then

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  16. A tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 cuts the ellipse ...

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  17. The product of lengths of perpendicular from any point on the hyperbol...

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  18. The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3, is

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  19. Find the area of the triangle formed by any tangent to the hyperbola (...

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  20. If e(1) and e(2) are respectively the eccentricities of the ellipse (x...

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