1

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.

2

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.

3

IIT-JEE 2001

Subjective

+5

-0

Let $$\,2{x^2}\, + \,{y^2} - \,3xy = 0$$ be the equation of a pair of tangents drawn from the origin O to a circle of radius 3 with centre in the first quadrant. If A is one of the points of contact, find the length of OA.

4

IIT-JEE 1999

Subjective

+10

-0

Let $${T_1}$$, $${T_2}$$ be two tangents drawn from (- 2, 0) onto the circle $$C:{x^2}\,\, + \,{y^2} = 1$$. Determine the circles touching C and having $${T_1}$$, $${T_2}$$ as their pair of tangents. Further, find the equations of all possible common tangents to these circles, when taken two at a time.

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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