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Question
statement are true and 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
Equation of an ellipse: \[\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1\]
If we put a = b = 1, then we obtain \[x^2 + y^2 = 1\]
, which is an equation of a circle. Therefore, a circle is a particular case of an ellipse.
Thus, the statement is true.
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