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Circle question

2023 · 24 Jan · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Circle
2023 · 24 Jan · Shift 2 · Q29

Circle question

2023 · 24 Jan · Shift 2 · Q29

JEE MainMathematicsCircleMCQ+4 / −1

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} = {\pi \over 3},{\theta _3} = {{2\pi } \over 3}

and

r_1^2 = r_2^2 + r_3^2

, then

{\theta _2}

is equal to :

A
${\pi \over 2}$
B
${\pi \over 4}$
C
${{3\pi } \over 4}$
D
${\pi \over 6}$

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