4. could a circle given by the equation (xx−5)2+(yy−1)2=25 have tangent lines given by the equations
y−4=4/3(x−1) and y−5=3/4(x−8)? explain how you know.

Tangent, not a tangent

Step-by-step explanation:

Given that a circle has equation as

We have to check whether the two lines are tangents to the circle

I line:

Substitute for y from straight line equation in the circle equation and check whether equal solutions are there. If equal solutions, then the line is tangent.

Since equal roots are there this is a tangent

II line.

Substiutte for y to get

Here discriminant not equals 0

Not equal roots

So cannot be a tangent.

google dat sis

step-by-step explanation: