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

MCQ

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

A
$p:$ Each radius of a circle is a chord of the circle.
✓
$q:$ Circle is a particular case of an ellipse.
C
$r: \sqrt3$ is a rational number.
D
$s:$ The centre of a circle bisects each chord of the cirlce.

✓

Answer

Correct option: B.

$q:$ Circle is a particular case of an ellipse.

We know that equation of an ellipse is given by $\frac{\text{x}^2}{\text{a}^2}+\frac{\text{y}^2}{\text{b}^2}=1$
If we take $a = b$ then we get $x^2 + y^2 = a^2$ which satisfies all the conditions of circle
$\therefore$ circle is the particular case of an ellipse.

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