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A hyperbola having the transverse axis o...

A hyperbola having the transverse axis of length `2sintheta` is confocal with the ellipse `3x^2+4y^2=12` . Then its equation is `x^2cos e c^2theta-y^2sec^2theta=1` `x^2sec^2theta-y^2cos e c^2theta=1` `x^2sin^2theta-y^2cos^2theta=1` `x^2cos^2theta-y^2sin^2theta=1`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the cent...

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  3. A hyperbola having the transverse axis of length 2sintheta is confocal...

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  6. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

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  8. Let aa n db be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

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  10. Find the equations to the common tangents to the two hyperbolas (x^2)/...

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  11. A parabola is drawn with focus at one of the foci of the ellipse (x^2)...

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  12. Let P(6,3) be a point on the hyperbola x^2/a^2-y^2/b^2=1If the normal ...

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  13. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

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  14. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

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  15. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2...

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  16. Let Pi and Pi ' be the feet of the perpendiculars drawn from the foci ...

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  17. An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The ecc...

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  18. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

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  19. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

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  20. The equation of the ellipse whose axes are coincident with the coor...

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