Circles · JEE Main previous year questions

2012 3 questions

1. Q242012 · 26 May 2012 · Shift 1

   The number of common tangents of the circles given by $x^2+y^2-8x-2y+1=0$ and $x^2+y^2+6x+8y=0$ is

   1. A.one
   2. B.four
   3. C.two
   4. D.three
   Show answer

   Answer: C

2. Q192012 · 7 May 2012 · Shift 1

   The parabola $y^2=x$ divides the circle $x^2+y^2=2$ into two parts whose areas are in the ratio

   1. A.$9\pi +2:3\pi -2$
   2. B.$9\pi -2:3\pi +2$
   3. C.$7\pi -2:2\pi -3$
   4. D.$7\pi +2:3\pi +2$
   Show answer

   Answer: B

3. Q242012 · 7 May 2012 · Shift 1

   The equation of the circle passing through the point $(1,2)$ and through the points of intersection of $x^2+y^2-4x-6y-21=0$ and $3x+4y+5=0$ is given by

   1. A.$x^2+y^2+2x+2y+11=0$
   2. B.$x^2+y^2-2x+2y-7=0$
   3. C.$x^2+y^2+2x-2y-3=0$
   4. D.$x^2+y^2+2x+2y-11=0$
   Show answer

   Answer: D