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Find the lengths of the transvers and th...

Find the lengths of the transvers and the conjugate axis, eccentricity, the coordinates of foci, vertices, the lengths of latus racta, and the equations of the directrices of the following hyperbola: `16 x^2-9y^2=-144.`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Two straight lines pass through the fixed points (+-a, 0) and have slo...

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  2. Each question has four choices: a, b, c and d, out of which only one i...

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  3. Find the lengths of the transvers and the conjugate axis, eccentricity...

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  4. Statement 1 : In a triangle A B C , if base B C is fixed and the perim...

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  5. In an ellipse, the sum of the distances between foci is always less ...

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  6. Find the equation of hyperbola : whose axes are coordinate axes and th...

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  7. Statement 1 : The equations of the tangents drawn at the ends of th...

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  8. Find the equation of hyperbola if centre is (1, 0), one focus is (6, 0...

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  9. Let E1a n dE2, respectively, be two ellipses (x^2)/(a^2)+y^2=1,a n dx^...

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  10. Find the equation of hyperbola : Whose center is (3, 2), one focus is ...

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  11. Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is...

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

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

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

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

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

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

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

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

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

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