The distance of the middle point of the line joining the points (… - Vidyadip

MCQ

The distance of the middle point of the line joining the points $(a\sin \theta ,0)$and $(0,a\cos \theta )$from the origin is

✓
$\frac{a}{2}$
B
$\frac{1}{2}a(\sin \theta + \cos \theta )$
C
$a(\sin \theta + \cos \theta )$
D
$a$

✓

Answer

Correct option: A.

$\frac{a}{2}$

a
(a)Mid-point will be $\left( {\frac{{a\,\sin \theta }}{2},\,\frac{{a\,\cos \theta }}{2}} \right)$ and distance from origin will be $\sqrt {{{\left( {\frac{{a\,\sin \theta }}{2} - 0} \right)}^2} + {{\left( {\frac{{a\,\cos \theta }}{2} - 0} \right)}^2}} = \frac{a}{2}$.

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