find the distance of each the following lines from the origin. (a),4x_3y=10 b,x_5y+2=0 c,3x+y_7=0​

Question

find the distance of each the following lines from the origin.
(a),4x_3y=10
b,x_5y+2=0
c,3x+y_7=0​

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Thông Đạt 7 months 2021-07-17T23:55:25+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-07-17T23:57:18+00:00

    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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