Question

A bar of given length moves with its extremities on two fixed straight lines at right angles. Any point of the bar describes an ellipse.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

Let P (x, y) be any point on the bar such that PA = a and PB = b

Clearly from the figure

x = OL = b cosθ 

y = PL = a sinθ

These give `x^2/b^2 + y^2/a^2` = 1

Which is an ellipse.