question_answer

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?

A) \[p=q~\]

B) \[3p=4q\]

C) \[4p=3q\]

D) \[p+q=5\]  

Correct Answer: C

Solution :

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