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An ellipse intersects the hyperbola 2x^2...

An ellipse intersects the hyperbola `2x^2-2y^2 =1` orthogonally. The eccentricity of the ellipse is reciprocal to that of the hyperbola. If the axes of the ellipse are along the coordinate axes, then (a) the foci of ellipse are `(+-1, 0)` (b) equation of ellipse is `x^2+ 2y^2 =2` (c) the foci of ellipse are `(+-sqrt 2, 0)` (d) equation of ellipse is `(x^2 +y^2 =4)`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
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  2. Let Pi and Pi ' be the feet of the perpendiculars drawn from the foci ...

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

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

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

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

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  7. Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the srai...

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  8. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

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  9. Consider the hyperbola H, x^(2)-y^(2)=1 and a circle S with centre N(x...

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  10. Let d be the perpendicular distance from the centre of the ellipse x^2...

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  11. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

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  12. A tangent to the ellipse x^2+4y^2=4 meets the ellipse x^2+2y^2=6 at P ...

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  13. The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^...

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  14. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

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  15. Let any double ordinate P N P ' of the hyperbola (x^2)/(25)-(y^2)/(16)...

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  16. Tangents drawn from the point P(2,3) to the circle x^2 + y^2-8x + 6y...

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  17. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

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  18. If from a point P(0,alpha) , two normals other than the axes are drawn...

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  19. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

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  20. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

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