WB JEE 2010 | Parabola Question 13 | Mathematics

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 2011

MCQ (Single Correct Answer)

-0.25

The coordinates of a moving point P are (2t² + 4, 4t + 6). Then its locus will be a/an

circle

straight line

parabola

ellipse

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

The locus of the middle points of all chords of the parabola y² = 4ax passing through the vertex is

a straight line

an ellipse

a parabola

a circle

WB JEE Subjects