1

IIT-JEE 2005

Subjective

+2

-0

Circles with radii 3, 4 and 5 touch each other externally. It P is the point of intersection of tangents to these circles at their points of contact, find the distance of P from the points of contact.

2

IIT-JEE 2004

Subjective

+4

-0

Find the equation of circle touching the line 2x + 3y + 1 = 0 at (1, -1) and cutting orthogonally the circle having line segment joining (0, 3) and (- 2, -1) as diameter.

3

IIT-JEE 2003

Subjective

+2

-0

For the circle $${x^2}\, + \,{y^2} = {r^2}$$, find the value of r for which the area enclosed by the tangents drawn from the point P (6, 8) to the circle and the chord of contact is maximum.

4

IIT-JEE 2001

Subjective

+5

-0

Let $$C_1$$ and $$C_2$$ be two circles with $$C_2$$ lying inside $$C_1$$. A circle C lying inside $$C_1$$ touches $$C_1$$ internally and $$C_2$$ externally. Identify the locus of the centre of C.

Questions Asked from Circle (Subjective)

Number in Brackets after Paper Indicates No. of Questions

IIT-JEE 2005 (1)
IIT-JEE 2004 (1)
IIT-JEE 2003 (1)
IIT-JEE 2001 (2)
IIT-JEE 1999 (1)
IIT-JEE 1998 (1)
IIT-JEE 1997 (1)
IIT-JEE 1996 (2)
IIT-JEE 1993 (2)
IIT-JEE 1992 (1)
IIT-JEE 1991 (1)
IIT-JEE 1990 (1)
IIT-JEE 1989 (1)
IIT-JEE 1987 (2)
IIT-JEE 1986 (1)
IIT-JEE 1984 (1)
IIT-JEE 1983 (1)
IIT-JEE 1981 (2)
IIT-JEE 1978 (1)

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