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IgorC [24]
3 years ago
12

Find the distance of each the following lines from the origin.

Mathematics
1 answer:
meriva3 years ago
7 0

Answer:

Step-by-step explanation:

3x+y−7=0 and x+2y+9=0

write in the form y=mx+c

i.e.y=−3x+7,y=  

2

−x

​  

−  

2

9

​  

 

∴m  

1

​  

=−3 and m  

2

​  

∓−  

2

1

​  

 

tan(A−B)=  

∣

∣

∣

∣

∣

​  

 

1+tanAtanB

tanA−tanB

​  

 

∣

∣

∣

∣

∣

​  

 

∣

∣

∣

∣

∣

​  

 

1+(−3)(−y  

2

​  

)

−3−(−y  

2

​  

)

​  

 

∣

∣

∣

∣

∣

​  

 

=  

∣

∣

∣

∣

∣

​  

 

5/2

−5/2

​  

 

∣

∣

∣

∣

∣

​  

=1

∴ Angle b/w then is tan  

−1

(1)=45  

∘

 

=  

4

π

​

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