#### 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.

#### 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

*x*^{2} + *y*^{2} = 1, which is an equation of a circle

Therefore, circle is a particular case of an ellipse.

Thus, statement *r* is true.

Is there an error in this question or solution?

Solution 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. Concept: Validation by Contradiction.