Conic Sections · JEE Main previous year questions

2014 2 questions

1. Q82014 · 6 Apr 2014 · Shift 1

   The locus of the foot of perpendicular drawn from the centre of the ellipse $x^2+3y^2=6$ on any tangent to it is :

   1. A.$(x^2+y^2{)}^2=6x^2+2y^2$
   2. B.$(x^2+y^2{)}^2=6x^2-2y^2$
   3. C.$(x^2-y^2{)}^2=6x^2+2y^2$
   4. D.$(x^2-y^2{)}^2=6x^2-2y^2$
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   Answer: A

2. Q252014 · 6 Apr 2014 · Shift 1

   The slope of the line touching both the parabolas $y^2=4x$ and $x^2=-32y$ is

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