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 2009

MCQ (Single Correct Answer)

-0.25

The coordinates of the focus of the parabola described parametrically by x = 5t² + 2, y = 10t + 4 are

(7, 4)

(3, 4)

(3, $$-$$4)

($$-$$7, 4)

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If t₁ and t₂ be the parameters of the end points of a focal chord for the parabola y² = 4ax, then which one is true?

t₁t₂ = 1

$${{{t_1}} \over {{t_2}}} = 1$$

t₁t₂ = $$-$$1

t₁ + t₂ = $$-$$1

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