WB JEE 2008 | Parabola Question 1 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The two parabolas x² = 4y and y² = 4x meet in two distinct points. One of these is the origin and the other is

(2, 2)

(4, $$-$$4)

(4, 4)

($$-$$2, 2)

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The vertex of the parabola x² + 2y = 8x $$-$$ 7 is

$$\left( {{9 \over 2},0} \right)$$

$$\left( {4,{9 \over 2}} \right)$$

$$\left( {2,{9 \over 2}} \right)$$

$$\left( {4,{7 \over 2}} \right)$$

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 Subjects