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Circle question

2025 · 24 Jan · Shift 1 · Q45

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Circle
2025 · 24 Jan · Shift 1 · Q45

Circle question

2025 · 24 Jan · Shift 1 · Q45

JEE MainMathematicsCircleMCQ+4 / −1

Let circle

C

be the image of

x^2+y^2-2 x+4 y-4=0

in the line

2 x-3 y+5=0

and

A

be the point on

C

such that

O A

is parallel to

x

-axis and

A

lies on the right hand side of the centre

O

of

C

. If

B(\alpha, \beta)

, with

\beta\lt 4

, lies on

C

such that the length of the arc

A B

is

(1 / 6)^{\text {th }}

of the perimeter of

C

, then

\beta-\sqrt{3} \alpha

is equal to

A
$4-\sqrt{3}$
B
$3$
C
$4$
D
$3+\sqrt{3}$

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