# Question: awrite down the center of the circle c x2 ...

###### Question details

a)Write down the center of the circle c: x^{2} +
y^{2} -10x - 4y + k= 0 and find the radius length in terms
of k.

b)The midpoint of a chord of c is (4,1) and its length is .

i)find the radius length of c.

ii)Hence find the value of k.

c)Find the slopes of the tangents to c from the point (-2,1).