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
x2 + y2 = 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.
