Straight Line Question 279
Question: If the transversal y = mr x; r = 1, 2, 3 cut off equal intercepts on the transversal $ x+y=1, $ then $ 1+m_1, $ $ 1+m_2, $ $ 1+m_3 $ are in
Options:
A)A. P.
B)G. P.
C)H. P.
D)None of these
Correct Answer: CShow Answer
Answer:
Solution:
Þ $ \frac{m_2-m_1}{1+m_1}=\frac{m_3-m_2}{1+m_3} $ or $ \frac{1+m_2}{1+m_1}-1=1-\frac{1+m_2}{1+m_3} $
Þ $ \frac{1+m_2}{1+m_1}+\frac{1+m_2}{1+m_3}=2 $
Þ $ 1+m_2=\frac{2(1+m_1)(1+m_3)}{(1+m_1)+(1+m_3)} $
Þ $ 1+m_1,1+m_2,1+m_3 $ are in H.P.
BETA
