1

IIT-JEE 2003 Screening

MCQ (Single Correct Answer)
The centre of circle inscibed in square formed by the lines $${x^2} - 8x + 12 = 0\,\,and\,{y^2} - 14y + 45 = 0$$, is
A
(4, 7)
B
(7, 4)
C
(9, 4)
D
(4, 9)
2

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)
If the tangent at the point P on the circle $${x^2} + {y^2} + 6x + 6y = 2$$ meets a straight line 5x - 2y + 6 = 0 at a point Q on the y-axis, then the lenght of PQ is
A
4
B
$${2\sqrt 5 }$$
C
5
D
$${3\sqrt 5 }$$
3

IIT-JEE 2001 Screening

MCQ (Single Correct Answer)
Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals
A
$$\sqrt {PQ.\,RS} $$
B
(PQ + RS) / 2
C
2 PQ. RS/(PQ + RS)
D
$$\sqrt {\left( {P{Q^2} + \,R{S^2}} \right)} \,\,/2$$
4

IIT-JEE 2001 Screening

MCQ (Single Correct Answer)
Let A B be a chord of the circle $${x^2} + {y^2} = {r^2}$$ subtending a right angle at the centre. Then the locus of the centriod of the triangle PAB as P moves on the circle is
A
a parabola
B
a circle
C
an ellipse
D
a pair of straight lines

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