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Question

Which one of the following statements is not a false statement?


A
p: Each radius of a circle is a chord of the circle.
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B
q: Circle is a particular case of an ellipse.
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C
r:13 is a rational number.
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D
s: The centre of a circle bisects each chord of the cirlce.
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Solution

The correct option is A $$q:$$ Circle is a particular case of an ellipse.
We know that equation of an ellipse is given by $$\displaystyle \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$$
If we take $$\displaystyle a=b $$ then we get $$\displaystyle x^{2}+y^{2}=a^{2} $$ which satisfies all the conditions of circle
$$\displaystyle \therefore $$ circle is the particular case of an ellipse.
Ans: B

Mathematics

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