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UPSC NDA 2 2021 Mathematics Solved Paper

Direction :

Consider the following for the next two (02) items that follow.

A circle is passing through the points

(5,-8)

(-2,9)

and

(2,1)

[NDA-II 2021]

Question : 52 of 120

Marks: +1, -0

r

Solution: 👈: Video Solution

Since, the centre of the above circle

=(-58,-24)

g=58, f=24

and

c=-285

\therefore \text{Radius} = \sqrt{g^{2}+f^{2}-c}

= \sqrt{(58)^{2}+(24)^{2}-(-285)}

= \sqrt{3364+576+285}

= \sqrt{4225}

r = 65 \text{ unit.}

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