1
WB JEE 2021
+1
-0.25
If a > 0, b > 0 then the maximum area of the parallelogram whose three vertices are O(0, 0), A(a cos$$\theta$$, b sin$$\theta$$) and B(a cos$$\theta$$, $$-$$ b sin$$\theta$$) is
A
ab when $$\theta$$ = $${\pi \over 4}$$
B
3ab when $$\theta$$ = $${\pi \over 4}$$
C
ab when $$\theta$$ = $$-$$ $${\pi \over 2}$$
D
2ab
2
WB JEE 2021
+1
-0.25
Let A be the fixed point (0, 4) and B be a moving point on X-axis. Let M be the midpoint of AB and let the perpendicular bisector of AB meets the Y-axis at R. The locus of the midpoint P of MR is
A
y + x2 = 2
B
$${x^2} + {(y - 2)^2} = {1 \over 4}$$
C
$${(y - 2)^2} - {x^2} = {1 \over 4}$$
D
$${x^2} + {y^2} = 16$$
3
WB JEE 2021
+1
-0.25
A moving line intersects the lines x + y = 0 and x $$-$$ y = 0 at the points A, B respectively such that the area of the triangle with vertices (0, 0), A and B has a constant area C. The locus of the mid-point AB is given by the equation
A
$${({x^2} + {y^2})^2} = {C^2}$$
B
$${({x^2} - {y^2})^2} = {C^2}$$
C
$${(x + y)^2} = {C^2}$$
D
$${(x - y)^2} = {C^2}$$
4
WB JEE 2021
+1
-0.25
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
$$\sqrt 3 y = x - 1$$
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