Straight Line Question 218
Question: A line L intersects the three sides BC. CA and AB of a $ \Delta ABC $ at P, Q and R respectively. Then, $ \frac{BP}{PC}.\frac{CQ}{QA}.\frac{AR}{RB} $ is equal to
Options:
A) 1
B) 0
C) -1
D) None of these
Correct Answer: C $ \Rightarrow -\frac{lx_2+my_2+n}{lx_3+my_3+n}=\lambda =\frac{BP}{PC} $ ? (i)
Similarly, we obtain
$ \frac{CQ}{QA}=-\frac{lx_3+my_3+n}{lx_1+my_1+n} $ …. (ii)
and $ \frac{AR}{RB}=\frac{lx_1+my_1+n}{lx_2+my_2+n} $ ?. (iii)
On multiplying Eqs. (i), (ii) and (iii), we get
$ \frac{BP}{PC}.\frac{CQ}{QA}.\frac{AR}{RB}=1 $Show Answer
Answer:
Solution:
BETA
