Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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Statement Are True and False? in Each Case Give a Valid Reason for Saying So R : Circle is a Particular Case of an Ellipse. - Mathematics

 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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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 31 Mathematical reasoning
Exercise 31.6 | Q 7.3 | Page 29
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