Conic Sections · JEE Main previous year questions

2017 3 questions

1. Q162017 · 9 Apr 2017 · Shift 1

   The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate axes and passing through the points $(4,-1)$ and $(-2,2)$ is :

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

2. Q272017 · 9 Apr 2017 · Shift 1

   If $y=mx+c$ is the normal at a point on the parabola $y^2=8x$ whose focal distance is 8 units, then $|c|$ is equal to :

   1. A.$2\sqrt{3}$
   2. B.$8\sqrt{3}$
   3. C.$10\sqrt{3}$
   4. D.$16\sqrt{3}$
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   Answer: C

3. Q182017 · 8 Apr 2017 · Shift 1

   Consider an ellipse, whose center is at the origin and its major axis is along the x-axis. If its eccentricity is $\frac{3}{5}$ and the distance between its foci is 6, then the area (in sq. units) of the quadrilatateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is :

   1. A.$8$
   2. B.$32$
   3. C.$80$
   4. D.$40$
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   Answer: D