WB JEE 2008 | Parabola Question 4 | Mathematics

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

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The vertex of the parabola y² + 6x $$-$$ 2y + 13 = 0 is

(1, $$-$$1)

($$-$$2, 1)

$$\left( {{3 \over 2},1} \right)$$

$$\left( { - {7 \over 2},1} \right)$$

WB JEE Subjects