IIT-JEE 2001 Screening | Circle Question 43 | Mathematics

IIT-JEE 2001 Screening

MCQ (Single Correct Answer)

-0.5

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

$$\sqrt {PQ.\,RS} $$

(PQ + RS) / 2

2 PQ. RS/(PQ + RS)

$$\sqrt {\left( {P{Q^2} + \,R{S^2}} \right)} \,\,/2$$

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

The triangle PQR is inscribed in the circle $${x^2}\, + \,\,{y^2} = \,25$$. If Q and R have co-ordinates (3, 4) and ( - 4, 3) respectively, then $$\angle \,Q\,P\,R$$ is equal to

$${\pi \over 2}$$

$${\pi \over 3}$$

$${\pi \over 4}$$

$${\pi \over 6}$$

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

If the circles $${x^2}\, + \,{y^2}\, + \,\,2x\, + \,2\,k\,y\,\, + \,6\,\, = \,\,0,\,\,{x^2}\, + \,\,{y^2}\, + \,2ky\, + \,k\, = \,0$$ intersect orthogonally, then k is

2 or $$ - {3 \over 2}$$

- 2 or $$ - {3 \over 2}$$

2 or $$ {3 \over 2}$$

- 2 or $$ {3 \over 2}$$

IIT-JEE 1999

MCQ (Single Correct Answer)

-0.5

If two distinct chords, drawn from the point (p, q) on the circle $${x^2}\, + \,{y^2} = \,px\, + \,qy\,\,(\,where\,pq\, \ne \,0)$$ are bisected by the x - axis, then

$${p^2}\, = \,\,{q^2}$$

$$\,{p^2}\, = \,\,8\,{q^2}$$

$${p^2}\, < \,\,8\,{q^2}$$

$${p^2}\, > \,\,8\,{q^2}$$.

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