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# 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. - CBSE (Arts) Class 11 - Mathematics

#### 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?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 14: Mathematical Reasoning
Q: 5.3 | Page no. 343

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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.
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