Answer with Step-by-step explanation:
We are given that equation of circle
Compare with equation of circle
Where (h,k)=Center of circle
r=Radius of circle
We get circle of center=(-1,9)
Radius=12.04
The point (-10,1) is on the circle because it satisfied the circle equation .
Slope of radius=
By using slope formula
Slope:
We know that radius is perpendicular to the tangent.
When two lines are perpendicular then their slope is opposite reciprocal to each other.
Slope of tangent=
Now, the equation of tangent passing through the point(-10,1) with slope-9/8 is given by
By using point-slope form
a.Kamal has made an error to find the slope of tangent .
Slope of tangent=
But he used slope of tangent 8/9
b.The equation of tangent line