Circles · JEE Main previous year questions

2002 5 questions

1. Q212002 · 27 Apr 2002 · Shift 1

   If the chord y = mx + 1 of the circle $x^2+y^2=1$ subtends an angle of measure $45^{\circ }$ at the major segment of the circle then value of m is :

   1. A.$2\pm \sqrt{2}$
   2. B.$-2\pm \sqrt{2}$
   3. C.$-1\pm \sqrt{2}$
   4. D.none of these
   Show answer

   Answer: D

2. Q222002 · 27 Apr 2002 · Shift 1

   The equation of a circle with origin as a center and passing through an equilateral triangle whose median is of length $3a$ is :

   1. A.$x^2+y^2=9a^2$
   2. B.$x^2+y^2=16a^2$
   3. C.$x^2+y^2=4a^2$
   4. D.$x^2+y^2=a^2$
   Show answer

   Answer: C

3. Q602002 · 27 Apr 2002 · Shift 1

   The centres of a set of circles, each of radius 3, lie on the circle $x^2+y^2=25$. The locus of any point in the set is :

   1. A.$4\le x^2+y^2\le 64$
   2. B.$x^2+y^2\le 25$
   3. C.$x^2+y^2\ge 25$
   4. D.$3\le x^2+y^2\le 9$
   Show answer

   Answer: A

4. Q612002 · 27 Apr 2002 · Shift 1

   The centre of the circle passing through (0, 0) and (1, 0) and touching the circle $x^2+y^2=9$ is :

   1. A.$\left(\frac{1}{2},\frac{1}{2}\right)$
   2. B.$\left(\frac{1}{2},-\sqrt{2}\right)$
   3. C.$\left(\frac{3}{2},\frac{1}{2}\right)$
   4. D.$\left(\frac{1}{2},\frac{3}{2}\right)$
   Show answer

   Answer: B

5. Q622002 · 27 Apr 2002 · Shift 1

   Two common tangents to the circle $x^2+y^2=2a^2$ and parabola $y^2=8ax$ are :

   1. A.$x=\pm (y+2a)$
   2. B.$y=\pm (x+2a)$
   3. C.$x=\pm (y+a)$
   4. D.$y=\pm (x+a)$
   Show answer

   Answer: B