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Circle question

2023 · 29 Jan · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Circle
2023 · 29 Jan · Shift 1 · Q27

Circle question

2023 · 29 Jan · Shift 1 · Q27

JEE MainMathematicsCircleMCQ+4 / −1

Let the tangents at the points

A(4,-11)

and

B(8,-5)

on the circle

x^{2}+y^{2}-3 x+10 y-15=0

, intersect at the point

C

. Then the radius of the circle, whose centre is

C

and the line joining

A

and

B

is its tangent, is equal to :

A
$\frac{2\sqrt{13}}{3}$
B
$\frac{3\sqrt{3}}{4}$
C
$\sqrt{13}$
D
$2\sqrt{13}$

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