State and prove theorem of perpendicular axes.

State and prove theorem of parallel axis.

(a) Prove the theorem of perpendicular axes. (Hint : Square of the distance of a point (x, y) in the x-y plane from an axis through the origin perpendicular to the plane is x^(2)+y^(2) ). (b) Prove the theorem of parallel axes. (Hint : If the centre of mass is chosen to be the origin Sigmam_(1)(r_(i)=0) .

Will the theorem of perpendicular axis be applicable to a solid sphere?

Write carnot theorem.

The coordinates of a point are the perpendicular distance from the ____ on the respectives axes.

If a line is drawn through the centre of a circle to bisect a chord, then prove that it is perpendicular to the chord.

if one of the lines given by the equation ax^2+2hxy+by^2=0 coincides with one of the lines given by a'x^2+2h'xy+b'y^2=0 and the other lines representted by them be perpendicular , then . (ha'b')/(b'-a')=(h'ab)/(b-a)=1/2sqrt(-a a' b b')

L and L' are end points of latus rectum of parabola y^2 = 4ax and M' and M are foot of perpendiculars from there points to line x = 0 then are of LL'M'M = .........

Theorem of perpendicular axis be applicable to which type of body?

Prove that the bisectors of two adjacent angles of a parallelogram are perpendicular to each other.