1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The locus of the centre of a circle which passes through two variable points (a, 0), ($$-$$a, 0) is

A
x = 1
B
x + y = a
C
x + y = 2a
D
x = 0
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The intercept on the line y = x by the circle x2 + y2 $$-$$ 2x = 0 is AB. Equation of the circle with AB as diameter is

A
x2 + y2 = 1
B
x(x $$-$$ 1) + y(y $$-$$ 1) = 0
C
x2 + y2 = 2
D
(x $$-$$ 1) (x $$-$$ 2) + (y $$-$$ 1) (y $$-$$ 2) = 0
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If the coordinates of one end of a diameter of the circle $${x^2} + {y^2} + 4x - 8y + 5 = 0$$ is (2, 1), the coordinates of the other end is

A
($$-$$6, $$-$$7)
B
(6, 7)
C
($$-$$6, 7)
D
(7, $$-$$6)
4
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

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
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