Straight Line Question 270

Question: From the point (4, 3) a perpendicular is dropped on the x-axis as well as on the y-axis. If the lengths of perpendiculars are p, q respectively, then which one of the following is correct?

Options:

A) $ p=q~ $

B) $ 3p=4q $

C) $ 4p=3q $

D) $ p+q=5 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ P=\sqrt{{{(4-4)}^{2}}+{{(3-0)}^{2}}}=3 $ $ q=\sqrt{{{(4-0)}^{2}}+{{(3-3)}^{2}}}=4 $ Now, $ 4p=4\times 3=12 $ $ 3q=3\times 4=12 $

$ \therefore 4p=3q $