Coordinate Geometry Question 128
Question: 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
[MP PET 1999]
Options:
A) $ \frac{a}{2} $
B) $ \frac{1}{2}a(\sin \theta +\cos \theta ) $
C) $ a(\sin \theta +\cos \theta ) $
D) $ a $
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Answer:
Correct Answer: A
Solution:
Mid-point will be $ ( \frac{a\sin \theta }{2},\frac{a\cos \theta }{2} ) $ and distance from origin will be $ \sqrt{{{( \frac{a\sin \theta }{2}-0 )}^{2}}+{{( \frac{a\cos \theta }{2}-0 )}^{2}}}=\frac{a}{2} $ .
BETA
