WB JEE 2024 | Circle Question 16 | Mathematics

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

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

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

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

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

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

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

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

$$xy = 6$$

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

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

If the equation of one tangent to the circle with centre at (2, $$-$$1) from the origin is 3x + y = 0, then the equation of the other tangent through the origin is

$$3x - y = 0$$

$$x + 3y = 0$$

$$x - 3y = 0$$

$$x + 2y = 0$$

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