1

IIT-JEE 2010 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-1

Let $$A$$ and $$B$$ be two distinct points on the parabola $${y^2} = 4x$$. If the axis of the parabola touches a circle of radius $$r$$ having $$AB$$ as its diameter, then the slope of the line joining $$A$$ and $$B$$ can be

2

IIT-JEE 2009 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-2

The tangent $$PT$$ and the normal $$PN$$ to the parabola $${y^2} = 4ax$$ at a point $$P$$ on it meet its axis at points $$T$$ and $$N$$, respectively. The locus of the centroid of the triangle $$PTN$$ is a parabola whose

3

IIT-JEE 2009 Paper 2 Offline

MCQ (More than One Correct Answer)

+4

-2

An ellipse intersects the hyperbola $$2{x^2} - 2{y^2} = 1$$ orthogonally. The eccentricity of the ellipse is reciprocal of that of the hyperbola. If the axes of the ellipse are along the coordinate axes then

4

IIT-JEE 2009 Paper 1 Offline

MCQ (More than One Correct Answer)

+4

-2

In a triangle $$ABC$$ with fixed base $$BC$$, the vertex $$A$$ moves such that
$$$\cos \,B + \cos \,C = 4{\sin ^2}{A \over 2}.$$$

If $$a, b$$ and $$c$$ denote the lengths of the sides of the triangle opposite to the angles $$A, B$$ and $$C$$, respectively, then

Questions Asked from Conic Sections (MCQ (Multiple Correct Answer))

Number in Brackets after Paper Indicates No. of Questions

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