1
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
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation of the plane through the point $$(2, - 1, - 3)$$ and parallel to the lines

$${{x - 1} \over 2} = {{y + 2} \over 3} = {z \over { - 4}}$$ and $${x \over 2} = {{y - 1} \over { - 3}} = {{z - 2} \over 2}$$ is
A
$$8x + 14y + 13z + 37 = 0$$
B
$$8x - 14y - 13z - 37 = 0$$
C
$$8x - 14y - 13z + 37 = 0$$
D
$$x + 2y + 2z + 6 = 0$$
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The sine of the angle between the straight line $${{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}$$ and the plane $$2x - 2y + z = 5$$ is
A
$${{2\sqrt 3 } \over 5}$$
B
$${{\sqrt 2 } \over {10}}$$
C
$${4 \over {5\sqrt 2 }}$$
D
$${{\sqrt 5 } \over 6}$$
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
Let f(x) = sin x + cos ax be periodic function. Then,
A
a is any real number
B
a is any irrational number
C
a is rational number
D
a = 0
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