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Question
Which of the following statements are true and which are false? In each case give a valid reason for saying so.
r: Circle is a particular case of an ellipse.
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Solution
The equation of an ellipse is,
`x^2/a^2 + y^2/b^2 = 1`
If we put a = b = 1, then we obtain
x2 + y2 = 1, which is an equation of a circle
Therefore, circle is a particular case of an ellipse.
Thus, statement r is true.
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