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Perpendicular to line
means 




, 

is


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