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If the foci of the ellipse (x^2)/(16)+(y...

If the foci of the ellipse `(x^2)/(16)+(y^2)/(b^2)=1` and the hyperbola `(x^2)/(144)-(y^2)/(81)=1/(25)` coincide, then find the value of ` b^2`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If hyperbola (x^2)/(b^2)-(y^2)/(a^2)=1 passes through the focus of ell...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Statement 1 : The area of the ellipse 2x^2+3y^2=6 is more than the are...

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

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

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  20. The distance between two directrices of a rectangular hyperbola is 10 ...

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