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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Coordinate Geometry
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Find the equation of line which is parallel to $3x-4y+10=0$.Also find such line through the point (2,2)?

$\begin{array}{1 1}(a)\;3x-4y+2=0\\(b)\;4x-3y-2=0\\(c)\;2x-4y+3=0\\(d)\;3x+4y-2=0\end{array}$

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1 Answer

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Equation of any parallel to $3x-4y+10=0$ is $3x-4y+c=0$
Slope of parallel lines are same.
Now the line $3x-4y+c$ passes through (2,2) hence
$3\times 2-4(2)+c=0$
$6-8+c=0$
$c=2$
Hence required equation of line is $3x-4y+2=0$
Hence (a) is the correct answer.
answered Feb 4, 2014 by sreemathi.v
 

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