1
WB JEE 2023
+2
-0.5

The locus of points (x, y) in the plane satisfying $${\sin ^2}x + {\sin ^2}y = 1$$ consists of

A
a circle centered at origin
B
infinitely many circles that are all centered at the origin
C
infinitely many lines with slope $$\pm$$1
D
finitely many lines with slope $$\pm$$1
2
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)
3
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
4
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
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