1
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The locus of the vertices of the family of parabolas $$6y = 2{a^3}{x^2} + 3{a^2}x - 12a$$ is
A
$$xy = {{105} \over {64}}$$
B
$$xy = {{64} \over {105}}$$
C
$$xy = {{35} \over {16}}$$
D
$$xy = {{16} \over {35}}$$
2
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
From a point (d, 0) three normal are drawn to the parabola y2 = x, then
A
d = $${1 \over 2}$$
B
d > $${1 \over 2}$$
C
d < $${1 \over 2}$$
D
d = $${1 \over 3}$$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
A
$$ \pm $$ 4a cot $$\alpha $$ cosec $$\alpha $$
B
4a cot $$\alpha $$ cosec $$\alpha $$
C
$$ - $$ 4a cot $$\alpha $$ cosec $$\alpha $$
D
4a cosec2 $$\alpha $$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
A
$$4\sqrt 2 $$ units
B
$$2\sqrt 2 $$ units
C
8 units
D
$$8\sqrt 2 $$ units
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12