Straight Line Question 276

Question: If the coordinates of the points A and B be (3, 3) and (7, 6), then the length of the portion of the line AB intercepted between the axes is

Options:

A) $ \frac{5}{4} $

B) $ \frac{\sqrt{10}}{4} $

C) $ \frac{\sqrt{13}}{3} $

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • Equation of line $ AB $ is $ y-3=\frac{6-3}{7-3}(x-3) $
    Þ $ 3x-4y+3=0\Rightarrow \frac{x}{-1}+\frac{y}{3/4}=1 $ Hence required length is $ \sqrt{{{(-1)}^{2}}+{{( \frac{3}{4} )}^{2}}}=\frac{5}{4} $ .