Straight Line Question 240
Question: Vertices of a variable triangle are $ (3,4), $ $ (5cos\theta ,5sin\theta ) $ and $ (5sin\theta ,-5cos\theta ), $ where $ \theta \in R. $ Locus of its orthocenter is
Options:
A) $ {{(x+y-1)}^{2}}+{{(x-y-7)}^{2}}=100 $
B) $ {{(x+y-7)}^{2}}+{{(x-y-1)}^{2}}=100 $
C) $ {{(x+y-7)}^{2}}+{{(x+y-1)}^{2}}=100 $
D) $ {{(x+y-7)}^{2}}+{{(x-y+1)}^{2}}=100 $
Correct Answer: D $ \Rightarrow \sin \theta =\frac{\alpha +\beta -7}{10},\cos \theta =\frac{\alpha -\beta +1}{10} $ Thus, locus of $ (\alpha ,\beta ) $ is $ {{(x+y-7)}^{2}}+{{(x-y+1)}^{2}}=100. $Show Answer
Answer:
Solution:
BETA
