The point $A (- 5, 8)$ ______ on circle of radius $6$ and centre $(8, 9)$ .

lies

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lies inside

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lies outside

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cant't say

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Solution

The correct option is B lies outside
Radius of circle $= 6$
Now, the distance between the centre O and point A is
$O A = \sqrt{(8 - (- 5))^{2} + (9 - 8)^{2}}$
$= \sqrt{(13)^{2} + (1)^{2}} = \sqrt{170} > 6$
The point does not lie on circle.
So, option C is correct.

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