The equation of the line perpendicular to the line perpendicular to the line ax+by+c=0 and passing through the point (a,b) is
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Step-by-step explanation:
given line is : ax+by+c=0.
Slope of the line is given by(m1)=-coefficient of x/coefficient of y
= -a/b
Now, the slope of line perpendicular to the given line is (m2)= m1*m2= -1
=-a/b*m2= -1
= m2= b/a
Then the equation of line having slope b/a and passing through the point (a,b) is y-y1=m2(x-x1)
:y-b=b/a(x-a)
ay-ab-x+a= 0 is the required equation.
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