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
A ray of light along $$x + \sqrt 3 y = \sqrt 3 $$ gets reflected upon reaching X-axis, the equation of the reflected ray is
A
$$y = x + \sqrt 3 $$
B
$$\sqrt 3 y = x - \sqrt 3 $$
C
$$y = \sqrt 3 x - \sqrt 3 $$
D
$$\sqrt 3 y = x - 1$$
3
WB JEE 2021
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Two tangents to the circle x2 + y2 = 4 at the points A and B meet at M($$-$$4, 0). The area of the quadrilateral MAOB, where O is the origin is
A
$$4\sqrt 3 $$ sq. units
B
$$2\sqrt 3 $$ sq. units
C
$$\sqrt 3 $$ sq. units
D
$$3\sqrt 3 $$ sq. units
4
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 = $${1 \over 3}$$
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