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If hyperbola (x^(2))/(b^(2))-(y^(2))/(a^...

If hyperbola `(x^(2))/(b^(2))-(y^(2))/(a^(2))=1` passes through the foci of ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`, then find the eccentricities of ellipse and hyperbola.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

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  2. An ellipse and a hyperbola have their principal axes along the coordin...

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  3. If hyperbola (x^(2))/(b^(2))-(y^(2))/(a^(2))=1 passes through the foci...

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  4. If the tangent drawn at point (t^2,2t) on the parabola y^2=4x is the s...

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

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  6. Find the coordinates of the foci, the eccentricity, the latus rectum, ...

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  7. If the latus rectum of a hyperbola forms an equilateral triangle with ...

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  8. If the rectum subtends a right angle at the centre of the hyperbola (x...

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  9. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

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  10. Find the equation of the hyperbola given by equations x=(e^t+e^(-t))/2...

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  11. A ray emerging from the point (5, 0) is incident on the hyperbola 9x^2...

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  12. Normal is drawn at one of the extremities of the latus rectum of the h...

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  13. An ellipse and a hyperbola are confocal (have the same focus) and the ...

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  14. The point of intersection of the tangents at the point P on the ellips...

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  15. The distance between two directrices of a ractangular hyperbola is 10 ...

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  16. Find the equation of normal to the hyperbola 3x^(2)-y^(2)=1 having slo...

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  17. a triangle A B C with fixed base B C , the vertex A moves such that co...

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  18. Find the equation of normal to the hyperbola x^(2)-9y^(2)=7 at point (...

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  19. A circle has the same center as an ellipse and passes through the foci...

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  20. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

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