SATHEE: Straight Line Question 349

Straight Line Question 349

Question: The equation of straight line passing through the intersection of the lines $ x-2y=1 $ and $ x+3y=2 $ and parallel to $ 3x+4y=0 $ is [MP PET 2000]

Options:

A) $ 3x+4y+5=0 $

B) $ 3x+4y-10=0 $

C) $ 3x+4y-5=0 $

D) $ 3x+4y+6=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

The intersection point of lines $ x-2y=1 $ and $ x+3y=2 $ is $ ( \frac{7}{5},\frac{1}{5} ) $ and the slope of required line $ =-\frac{3}{4} $ \ Equation of required line is $ y-\frac{1}{5}=\frac{-3}{4}( x-\frac{7}{5} ) $
Þ $ \frac{3x}{4}+y=\frac{21}{20}+\frac{1}{5} $ Þ $ 3x+4y=5 $ Þ $ 3x+4y-5=0 $ .

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Straight Line Question 349

Question: The equation of straight line passing through the intersection of the lines $ x-2y=1 $ and $ x+3y=2 $ and parallel to $ 3x+4y=0 $ is [MP PET 2000]

Options:

Answer:

Solution:

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