Straight Line Question 159
Question: If $ (a,a^{2}) $ falls inside the angle made by the lines y= $ \frac{x}{2} $ , x>0, and $ y=3x,x>0, $ then a belongs to
Options:
A) $ ( 0,\frac{1}{2} ) $
B) $ ( 3,\infty ) $
C) $ ( \frac{1}{2},3 ) $
D) $ ( -3,-\frac{1}{2} ) $
Correct Answer: C $ \therefore a-2a^{2}<0 $ Or $ a(2a-1)>0 $ Or $ a>1/2 $ …(i) Points A and P lie on same side of line $ 3x-y=0 $ $ L_2(1,0)=3-0>0 $ $ \therefore 3a-a^{2}>0 $ Or $ a(a-3)<0 $ Or $ 0<a<3 $…(ii) From (i) and (ii), $ 1/2<a<3 $
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Answer:
Solution:
BETA
