WB JEE 2022 | Parabola Question 19 | Mathematics

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

Let P be a point on (2, 0) and Q be a variable point on (y $$-$$ 6)² = 2(x $$-$$ 4). Then the locus of mid-point of PQ is

$${y^2} + x + 6y + 12 = 0$$

$${y^2} - x + 6y + 12 = 0$$

$${y^2} + x - 6y + 12 = 0$$

$${y^2} - x - 6y + 12 = 0$$

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

AB is a chord of a parabola y² = 4ax, (a > 0) with vertex A. BC is drawn perpendicular to AB meeting the axis at C. The projection of BC on the axis of the parabola is

a unit

2a unit

8a unit

4a unit

WB JEE 2022

MCQ (Single Correct Answer)

-0.5

From the point ($$-$$1, $$-$$6), two tangents are drawn to y² = 4x. Then the angle between the two tangents is

$$\pi$$/3

$$\pi$$/4

$$\pi$$/6

$$\pi$$/2

WB JEE 2022

MCQ (Single Correct Answer)

-0.5

Let the tangent and normal at any point P(at², 2at), (a > 0), on the parabola y² = 4ax meet the axis of the parabola at T and G respectively. Then the radius of the circle through P, T and G is

$$a(1 + {t^2})$$

$${(1 + t)^2}$$

$$a(1 - {t^2})$$

$$(1 - {t^2})$$

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