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Question

The angle between the two lines y-2x=9andx+2y=7, is


A

60°

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B

30°

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C

90°

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D

45°

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Solution

The correct option is C

90°


Explanation for the correct option:

Finding the angle between the two lines y-2x=9andx+2y=7, is

Given: y-2x=9andx+2y=7,

y=2x+9

Comparing the above equation with y=mx+c where m is the slope of the equation

m1=2

x+2y=7,y=-12x+7m2=-12

We know that the angle between two lines

tanθ=(m2m1)(1+m1m2)=-122(11)=θ=90°[tan90°=]

Hence the correct answer is option (C)


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