Conic Sections · JEE Main previous year questions

2006 2 questions

1. Q152006 · 29 Apr 2006 · Shift 1

   The locus of the vertices of the family of parabolas $y=\frac{a^3{x}^2}{3}+\frac{a^{2}x}{2}-2a$ is :

   1. A.$xy=\frac{105}{64}$
   2. B.$xy=\frac{3}{4}$
   3. C.$xy=\frac{35}{16}$
   4. D.$xy=\frac{64}{105}$
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   Answer: A

2. Q162006 · 29 Apr 2006 · Shift 1

   In the ellipse, the distance between its foci is 6 and minor axis is 8. Then its eccentricity is :

   1. A.$\frac{3}{5}$
   2. B.$\frac{1}{2}$
   3. C.$\frac{4}{5}$
   4. D.$\frac{1}{\sqrt{5}}$
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   Answer: A