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The ellipse E1:(x^2)/9+(y^2)/4=1 is insc...

The ellipse `E_1:(x^2)/9+(y^2)/4=1` is inscribed in a rectangle `R` whose sides are parallel to the coordinate axes. Another ellipse `E_2` passing through the point (0, 4) circumscribes the rectangle `Rdot` The eccentricity of the ellipse `E_2` is `(sqrt(2))/2` (b) `(sqrt(3))/2` (c) `1/2` (d) `3/4`

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the locus of the point which is such that the chord of contact...

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  2. Find the point (alpha,beta) on the ellipse 4x^2+3y^2=12 , in the first...

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  3. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

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  4. On the ellipse 4x^2+9y^2=1, the points at which the tangents are paral...

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  5. Find the eccentricity of the conic 4(2y-x-3)^2-9(2x+y-1)^2=80

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  6. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis ...

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  7. For all real values of m , the straight line y=m x+sqrt(9m^2-4) is a t...

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  8. Let E be the ellipse (x^2)/9+(y^2)/4=1 and C be the circle x^2+y^2=9 ....

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  9. Two straight lines rotate about two fixed points (-a,0) and (a,0) in a...

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  10. Statement 1 : There can be maximum two points on the line p x+q y+r...

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  11. Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

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  12. Statement 1 : Circles x^2+y^2=9 and (x-sqrt(5))(sqrt(2)x-3)+y(sqrt(2)y...

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  13. If AOB and COD are two straight lines which bisect one another at righ...

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  14. The area (in sq. units) of the quadrilateral formed by the tangents ...

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  15. Find the equation of hyperbola : Whose foci are (4, 2) and (8, 2) and ...

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  16. If tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the...

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  17. Two straight lines pass through the fixed points (+-a, 0) and have slo...

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

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

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

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