WB JEE 2011 | Circle Question 11 | Mathematics

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WB JEE 2011

MCQ (Single Correct Answer)

-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

x² + y² = 1

x(x $$-$$ 1) + y(y $$-$$ 1) = 0

x² + y² = 2

(x $$-$$ 1) (x $$-$$ 2) + (y $$-$$ 1) (y $$-$$ 2) = 0

WB JEE 2011

MCQ (Single Correct Answer)

-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

($$-$$6, $$-$$7)

(6, 7)

($$-$$6, 7)

(7, $$-$$6)

WB JEE 2023

MCQ (Single Correct Answer)

-0.5

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

a circle centered at origin

infinitely many circles that are all centered at the origin

infinitely many lines with slope $$\pm$$1

finitely many lines with slope $$\pm$$1

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

A curve passes through the point (3, 2) for which the segment of the tangent line contained between the co-ordinate axes is bisected at the point of contact. The equation of the curve is

$$y = {x^2} - 7$$

$$x = {{{y^2}} \over 2} + 2$$

$$xy = 6$$

$${x^2} + {y^2} - 5x + 7y + 11 = 0$$

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