Straight Line Question 134

Question: The pedal points of a perpendicular drawn from origin on the line $ 3x+4y-5=0 $ , is [RPET 1990]

Options:

A) $ ( \frac{3}{5},2 ) $

B) $ ( \frac{3}{5},\frac{4}{5} ) $

C) $ ( -\frac{3}{5},-\frac{4}{5} ) $

D) $ ( \frac{30}{17},\frac{19}{17} ) $

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Answer:

Correct Answer: B

Solution:

  • $ d=\frac{5}{\sqrt{3^{2}+4^{2}}}=1 $ Slope of perpendicular = $ \frac{4}{3} $
    Þ $ x=\pm 1.\cos \theta =\pm \frac{3}{5} $ and $ y=\pm 1.\sin \theta =\pm \frac{4}{5} $ Hence $ ( \frac{3}{5},\frac{4}{5} ) $ lies on straight line.