# 15) Find the equation of the tangent line to the curve which is (b) perpendicular to the line

Perpendicular to line    means
We know that the equation of the line is
y = mx + c
on comparing with the given equation we get the slope of line m = 3 and c = 13/5

Now, we know that the  slope of the tangent at a given point to given curve is given by
Given the equation of curve is

Now, when  ,
Hence, the coordinates are
Now, the equation of tangent passing through (2,7) and with slope   is

So,

Hence, equation of tangent is 36y + 12x = 227

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