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An ellipse and a hyperbola have their pr...

An ellipse and a hyperbola have their principal axes along the coordinate axes and have a common foci separated by distance `2sqrt(3)dot` The difference of their focal semi-axes is equal to 4. If the ratio of their eccentricities is 3/7 , find the equation of these curves.

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

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  3. An ellipse and a hyperbola have their principal axes along the coor...

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  4. Two concentric ellipses are such that the foci of one are on the other...

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  5. If hyperbola (x^2)/(b^2)-(y^2)/(a^2)=1 passes through the focus of ell...

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

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

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  8. Statement 1 : Any chord of the conic x^2+y^2+x y=1 through (0, 0) is b...

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  9. Find the coordinates of the foci, the eocentricity, the latus rectum, ...

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  10. Statement 1 : If there is exactly one point on the line 3x+4y+5sqrt...

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

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  12. Statement 1 : For the ellipse (x^2)/5+(y^2)/3=1 , the product of the p...

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  13. If the latus rectum subtends a right angle at the center of the hyp...

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  14. Statement 1 : The locus of the center of a variable circle touching...

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  15. If P Q is a double ordinate of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1...

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  16. Statement 1 : A triangle A B C right-angled at A moves so that its per...

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  17. Find the eccentricity of the hyperbola given by equations x=(e^t+e^(-t...

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  18. A ray emanating from the point (5, 0) is INCIDENT on the hyperbola 9x^...

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  19. Statement 1 : If the line x+y=3 is a tangent to an ellipse with focie ...

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  20. Normal is drawn at one of the extremities of the latus rectum of the ...

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