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Find the values of a for which three dis...

Find the values of `a` for which three distinct chords drawn from `(a ,0)` to the ellipse `x^2+2y^2=1` are bisected by the parabola `y^2=4xdot`

A

`4 lt a lt 8`

B

`8 lt a lt 4 + sqrt17`

C

` 0 lt a lt sqrt17-4`

D

`0 lt a lt 4`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-ELLIPSE-Exercise (Level 2 Single Correct)
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  2. If the normal at the point P(theta) to the ellipse x^2/14+y^2/5=1 inte...

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

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  4. If CF is perpendicular from the centre of the ellipse x^2/25+y^2/9=1 t...

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  5. If the tangent at the point P(theta) to the ellipse 16 x^2+11 y^2=256 ...

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  6. If lx+my+n=0 is an equation of the line joining the extremities of a p...

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  7. Let f be a strictly decreasing function defined on R such that f(x) gt...

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  8. Number of points from which two perpendicular tangents can be drawn to...

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

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  10. Find the values of a for which three distinct chords drawn from (a ,0)...

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  11. Let C be the centre of the ellipse E whose equation is 3x^2 + 4y^2- 12...

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  12. Let e the eccentricity of the ellipse passing through A(1, -1) and hav...

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  13. Let e be the eccentricity of the ellipse represented by x=5 (2cos thet...

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  14. Number of points on the ellipse x^2/25+y^2/7=1 whose distance from the...

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  15. The number of lattice points (that is point with both coordinates as i...

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  16. Number of points on the ellipse x^2/a^2+y^2/b^2=1 at which the normal ...

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  17. Suppose the eccentricity of the ellipse x^2/(a^2+3)+ y^2/(a^2+4)=1 is ...

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  18. Suppose the ellipse x^2/2+y^2=1 and the ellipse x^2/5+y^2/a^2=1 where ...

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  19. Let e be the eccentricity of the ellipse x^2/16+y^2/b^2=1 where 0 lt ...

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