Question:medium

The transformed equation of $x^2+y^2=r^2$ when the axes are rotated through an angle 36° is

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The equation of a circle centered at the origin ($x^2 + y^2 = r^2$) is invariant under rotation of axes.

Updated On: Apr 10, 2026

$\sqrt{5}X^{2}-4XY+Y^{2}=r^{2}$
$X^{2}+2XY-\sqrt{5}Y^{2}=r^{2}$
$X^{2}-Y^{2}=r^{2}$
$X^{2}+Y^{2}=r^{2}$

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The Correct Option is D

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The transformed equation of $x^2+y^2=r^2$ when the axes are rotated through an angle 36° is

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The Correct Option is D

Solution and Explanation

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