WB JEE 2008 | Parabola Question 3 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

If P(at², 2at) be one end of a focal chord of the parabola y² = 4ax, then the length of the chord is

$$a{\left( {t - {1 \over t}} \right)^2}$$

$$a\left( {t - {1 \over t}} \right)$$

$$a\left( {t + {1 \over t}} \right)$$

$$a{\left( {t + {1 \over t}} \right)^2}$$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The length of the common chord of the parabolas y² = x and x² = y is

$$2\sqrt 2 $$

$$\sqrt 2 $$

$${1 \over {\sqrt 2 }}$$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

If 2y = x and 3y + 4x = 0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the ellipse is

$$\sqrt {{2 \over 3}} $$

$$\sqrt {{2 \over 5}} $$

$$\sqrt {{1 \over 3}} $$

$$\sqrt {{1 \over 2}} $$

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

If t is a parameter, then $$x = a\left( {t + {1 \over t}} \right)$$, $$y = b\left( {t - {1 \over t}} \right)$$ represents

An ellipse

A circle

A pair of straight lines

A hyperbola

WB JEE Subjects