WB JEE 2022 | Parabola Question 25 | Mathematics

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

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

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

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

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

WB JEE 2022

MCQ (Single Correct Answer)

-0.5

If P₁P₂ and P₃P₄ are two focal chords of the parabola y² = 4ax then the chords P₁P₃ and P₂P₄ intersect on the

directrix of the parabola

axis of the parabola

latus-rectum of the parabola

y-axis

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

The locus of the vertices of the family of parabolas $$6y = 2{a^3}{x^2} + 3{a^2}x - 12a$$ is

$$xy = {{105} \over {64}}$$

$$xy = {{64} \over {105}}$$

$$xy = {{35} \over {16}}$$

$$xy = {{16} \over {35}}$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

From a point (d, 0) three normal are drawn to the parabola y² = x, then

d = $${1 \over 2}$$

d > $${1 \over 2}$$

d < $${1 \over 2}$$

d = $${1 \over 3}$$

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