1

IIT-JEE 2007

MCQ (Single Correct Answer)

+4

-1

Consider the circle $${x^2} + {y^2} = 9$$ and the parabola $${y^2} = 8x$$. They intersect at $$P$$ and $$Q$$ in the first and the fourth quadrants, respectively. Tangent to the circle at $$P$$ and $$Q$$ intersect the $$x$$-axis at $$R$$ and tangents to the parabola at $$P$$ and $$Q$$ intersect the $$x$$-axis at $$S$$.

The radius of the circumcircle of the triangle $$PRS$$ is

2

IIT-JEE 2007

MCQ (Single Correct Answer)

+3

-0.75

**STATEMENT-1:**The curve $$y = {{ - {x^2}} \over 2} + x + 1$$ is symmetric with respect to the line $$x=1$$. because

**STATEMENT-2:** A parabola is symmetric about its axis.

3

IIT-JEE 2006

MCQ (Single Correct Answer)

+3

-0.75

The axis of a parabola is along the line $$y = x$$ and the distances of its vertex and focus from origin are $$\sqrt 2 $$ and $$2\sqrt 2 $$ respectively. If vertex and focus both lie in the first quadrant, then the equation of the parabola is

4

IIT-JEE 2006

MCQ (Single Correct Answer)

+6

-1.5

Match the following : $$(3, 0)$$ is the pt. from which three normals are drawn to the parabola $${y^2} = 4x$$ which meet the parabola in the points $$P, Q $$ and $$R$$. Then

**Column $${\rm I}$$**

(A) Area of $$\Delta PQR$$

(B) Radius of circumcircle of $$\Delta PQR$$

(C) Centroid of $$\Delta PQR$$

(D) Circumcentre of $$\Delta PQR$$

**Column $${\rm I}$$$${\rm I}$$**

(p) $$2$$

(q) $$5/2$$

(r) $$(5/2, 0)$$

(s) $$(2/3, 0)$$

Questions Asked from Parabola (MCQ (Single Correct Answer))

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