Conic Sections · JEE Main previous year questions

2015 2 questions

1. Q72015 · 4 Apr 2015 · Shift 1

   Let $O$ be the vertex and $Q$ be any point on the parabola, $x^2=8y$. If the point $P$ divides the line segment $OQ$ internally in the ratio $1:3$, then locus of $P$ is :

   1. A.$y^2=2x$
   2. B.$x^2=2y$
   3. C.$x^2=y$
   4. D.$y^2=x$
   Show answer

   Answer: B

2. Q252015 · 4 Apr 2015 · Shift 1

   The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse $\frac{x^2}{9}+\frac{y^2}{5}=1$, is :

   1. A.$\frac{27}{2}$
   2. B.$27$
   3. C.$\frac{27}{4}$
   4. D.$18$
   Show answer

   Answer: B