lf the axes are rotated through an angle $60^{o}$ , then the transformed equation of $x^{2} + y^{2} = 25$ is

X^{2} + Y^{2} = 1

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X^{2} + Y^{2} = 9

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X^{2} + Y^{2} = 16

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X^{2} + Y^{2} = 25

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Solution

The correct option is D $X^{2} + Y^{2} = 25$
The radius of the circle is $5$ . Despite rotating the reference frame, the origin still remains the same. Hence, the equation of the circle remains unchanged.
Hence the new equation is:
$X^{2} + Y^{2} = 25$

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