Conic Sections · JEE Main previous year questions

2009 2 questions

1. Q92009 · 27 Apr 2009 · Shift 1

   The ellipse $x^2+4y^2=4$ is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point $(4,0)$. Then the equation of the ellipse is :

   1. A.$x^2+12y^2=16$
   2. B.$4x^2+48y^2=48$
   3. C.$4x^2+64y^2=48$
   4. D.$x^2+16y^2=16$
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   Answer: A

2. Q142009 · 27 Apr 2009 · Shift 1

   The area of the region bounded by the parabola $(y-2{)}^2=x-1$, the tangent of the parabola at the point $(2,3)$ and the $x$-axis is :

   1. A.6
   2. B.9
   3. C.12
   4. D.3
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   Answer: B