9) Find the point on the curve at which the tangent is
We know that the equation of a line is y = mx + c
Know the given equation of tangent is
y = x - 11
So, by comparing with the standard equation we can say that the slope of the tangent (m) = 1 and value of c if -11
As we know that slope of the tangent at a point on the given curve is given by
Given the equation of curve is
When x = 2 ,
and
When x = -2 ,
Hence, the coordinates are (2,-9) and (-2,19), here (-2,19) does not satisfy the equation y=x-11
Hence, the coordinate is (2,-9) at which the tangent is