(a) Prove the theorem of perpendicular axes. (b) Prove the theorem of

1.	(a) Prove the theorem of perpendicular axes. (b) Prove the theorem of parallel axes.
Answer» <html><body><p></p>Solution :(a) Square of the distance of a point `(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>, y)` in the x–y plane from an <a href="https://interviewquestions.tuteehub.com/tag/axis-889931" style="font-weight:bold;" target="_blank" title="Click to know more about AXIS">AXIS</a> through the origin and perpendicular to the plane is `x^(2)+y^(2)` <br/> If the centre of <a href="https://interviewquestions.tuteehub.com/tag/mass-1088425" style="font-weight:bold;" target="_blank" title="Click to know more about MASS">MASS</a> of a <a href="https://interviewquestions.tuteehub.com/tag/system-1237255" style="font-weight:bold;" target="_blank" title="Click to know more about SYSTEM">SYSTEM</a> of n particles is <a href="https://interviewquestions.tuteehub.com/tag/chosen-2515513" style="font-weight:bold;" target="_blank" title="Click to know more about CHOSEN">CHOSEN</a> to be the origin `Sigmam_(i)r_(i)=0`.</body></html>

(a) Prove the theorem of perpendicular axes. (b) Prove the theorem of parallel axes.