JEE Advanced 2013 Paper 2 Offline | Parabola Question 27 | Mathematics

JEE Advanced 2013 Paper 2 Offline

MCQ (Single Correct Answer)

-1

Let $$PQ$$ be a focal chord of the parabola $${y^2} = 4ax$$. The tangents to the parabola at $$P$$ and $$Q$$ meet at a point lying on the line $$y=2x+a$$, $$a>0$$.

Length of chord $$PQ$$ is

$$7a$$

$$5a$$

$$2a$$

$$3a$$

IIT-JEE 2011 Paper 2 Offline

MCQ (Single Correct Answer)

-0.75

Let $$(x, y)$$ be any point on the parabola $${y^2} = 4x$$. Let $$P$$ be the point that divides the line segment from $$(0, 0)$$ to $$(x, y)$$ in the ratio $$1 : 3$$. Then the locus of $$P$$ is

$${x^2} = y$$

$${y^2} = 2x$$

$${y^2} = x$$

$${x^2} = 2y$$

IIT-JEE 2009 Paper 2 Offline

MCQ (Single Correct Answer)

-1

The locus of the orthocentre of the triangle formed by the lines

$$(1 + p)x - py + p(1 + p) = 0, $$

$$(1 + q)x - qy + q(1 + q) = 0$$

and $$y = 0$$, where $$p \ne q$$, is :

a hyperbola.

a parabola.

an ellipse.

a straight line.

IIT-JEE 2007 Paper 2 Offline

MCQ (Single Correct Answer)

-1

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

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

Statement- 1 is True, Statement-2 is true; Statement-2 is a correct explanation for Statement-1

Statement-1 is True, Statement-2 is true; Statement- 2 is NOT a correct explanation for Statement-1

Statement-1 is True, Statement-2 is False

Statement-1 is False, Statement-2 is True

PREVIOUS NEXT

JEE Advanced Subjects

Browse all chapters by subject