The locus of the mid points of the chords of the circle C_1:(x-4)^2+(y-5)^2=4 which subtend an angle θ_i at the centre of the circle C_1, is a circle of radius r_i. If θ_1=(π)/3, θ_3=(2π)/3 and r_1^2=r_2^2+r_3^2, then θ_2 is equal to

The locus of the mid points of the chords of the circle… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 24 Jan · Shift 2

The locus of the mid points of the chords of the circle

C_1:(x-4)^2+(y-5)^2=4

which subtend an angle

\theta_i

at the centre of the circle

C_1

, is a circle of radius

r_i

. If

\theta_1=\frac{\pi}{3}

\theta_3=\frac{2\pi}{3}

and

r_1^2=r_2^2+r_3^2

, then

\theta_2

is equal to

Show answer

Correct option: B

[JEE Main 2023 · 24 Jan · Shift 2]

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