1
WB JEE 2022
+1
-0.25

If the algebraic sum of the distances from the points (2, 0), (0, 2) and (1, 1) to a variable straight line be zero, then the line passes through the fixed point

A
($$-$$1, 1)
B
(1, $$-$$1)
C
($$-$$1, $$-$$1)
D
(1, 1)
2
WB JEE 2022
+1
-0.25

If the sum of the distances of a point from two perpendicular lines in a plane is 1 unit, then its locus is

A
a square
B
a circle
C
a straight line
D
two intersecting lines
3
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
4
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
$${x^2} + {y^2} = 16$$
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