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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
Solution
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.
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