Straight Line Question 259
Question: The middle point of the segment of the straight line joining the points (p, q) and (q, -p) is $ (r/2),s/2 $ what is the length of the segment?
Options:
A) $ [{{(s^{2}+r^{2})}^{1/2}}]/2 $
B) $ [{{(s^{2}+r^{2})}^{1/2}}]/4 $
C) $ {{(s^{2}+r^{2})}^{1/2}} $
D) $ s+r $
Correct Answer: C $ \therefore \frac{p+q}{2}=\frac{r}{2} $ and $ \frac{q-p}{2}=\frac{s}{2} $ $ \Rightarrow p+q=r $ and $ q-p=s $ Now, length of segment $ =\sqrt{{{(p-q)}^{2}}+{{(q+p)}^{2}}} $ (By distance formula) $ =\sqrt{s^{2}+r^{2}} $
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Answer:
Solution:
BETA
