1

IIT-JEE 2007

Subjective

+6

-0

Match the statements in Column $$I$$ with the properties in Column $$II$$ and indicate your answer by darkening the appropriate bubbles in the $$4 \times 4$$ matrix given in the $$ORS$$.

**Column $$I$$**

(A) Two intersecting circles

(B) Two mutually external circles

(C) Two circles, one strictly inside the other

(D) Two branches vof a hyperbola

**Column $$II$$**

(p) have a common tangent

(q) have a common normal

(r) do not have a common tangent

(s) do not have a common normal

2

IIT-JEE 2005

Subjective

+4

-0

Tangents are drawn from any point on the hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ to the circle $${x^2} + {y^2} = 9$$.Find the locus of mid-point of the chord of contact.

3

IIT-JEE 1998

Subjective

+8

-0

The angle between a pair of tangents drawn from a point $$P$$ to the parabola $${y^2} = 4ax$$ is $${45^ \circ }$$. Show that the locus of the point $$P$$ is a hyperbola.

Questions Asked from Hyperbola (Subjective)

Number in Brackets after Paper Indicates No. of Questions

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