SATHEE: Straight Line Question 90

Straight Line Question 90

Question: The distance of the point of intersection of the lines $ 2x-3y+5=0 $ and $ 3x+4y=0 $ from the line $ 5x-2y=0 $ is

Options:

A) $ \frac{130}{17\sqrt{29}} $

B) $ \frac{13}{7\sqrt{29}} $

C) $ \frac{130}{17} $

D)None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Points of intersection are $ y=\frac{15}{17},x=\frac{-4\times 15}{3\times 17}=\frac{-20}{17} $ Therefore $ D=| \frac{5( \frac{-20}{17} )-2( \frac{15}{17} )}{\sqrt{29}} |=\frac{130}{17.\sqrt{29}} $ .

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Straight Line Question 90

Question: The distance of the point of intersection of the lines $ 2x-3y+5=0 $ and $ 3x+4y=0 $ from the line $ 5x-2y=0 $ is

Options:

Answer:

Solution:

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