Write the equation x+5y-2= 0 in normal form. then, find the length of the normal and the length and the angle makes with the positive x-axis.

Answer with explanation:

≡The given equation of line is :

      x + 5 y -2=0------------(1)

⇒A line having equation, Ax +By +C=0, can be written in normal form as Follows:

⇒Length of Normal

 Let, A=Angle made by line with positive Direction of X axis.

⇒Line, 1 in normal form can be written as:

⇒Length of Normal

⇒Writing equation of line in slope intercept form

⇒Comparing with general slope intercept form of line:

   y = m x +c,

or, y = x tan A +c

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