WB JEE 2021 | Parabola Question 24 | Mathematics

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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 = $${1 \over 3}$$

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

The length of the chord of the parabola y² = 4ax(a > 0) which passes through the vertex and makes an acute angle $$\alpha $$ with the axis of the parabola is

$$ \pm $$ 4a cot $$\alpha $$ cosec $$\alpha $$

4a cot $$\alpha $$ cosec $$\alpha $$

$$ - $$ 4a cot $$\alpha $$ cosec $$\alpha $$

4a cosec² $$\alpha $$

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

The equation of the latusrectum of a parabola is x + y = 8 and the equation of the tangent at the vertex is x + y = 12. Then, the length of the latusrectum is

$$4\sqrt 2 $$ units

$$2\sqrt 2 $$ units

8 units

$$8\sqrt 2 $$ units

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