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 2024

MCQ (Single Correct Answer)

-0.25

Chords $$\mathrm{AB}$$ & $$\mathrm{CD}$$ of a circle intersect at right angle at the point $$\mathrm{P}$$. If the length of AP, PB, CP, PD are 2, 6, 3, 4 units respectively, then the radius of the circle is

4 units

$$\frac{\sqrt{65}}{2}$$ units

$$\frac{\sqrt{67}}{2}$$ units

$$\frac{\sqrt{66}}{2}$$ units

WB JEE 2024

MCQ (Single Correct Answer)

-0.5

If two circles which pass through the points $$(0, a)$$ and $$(0,-a)$$ and touch the line $$\mathrm{y}=\mathrm{m} x+\mathrm{c}$$, cut orthogonally then

$$c^2=a^2\left(1+m^2\right)$$

$$c^2=a^2\left(2+m^2\right)$$

$$c^2=a^2\left(1+2 m^2\right)$$

$$2 c^2=a^2\left(1+m^2\right)$$

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