Answer:
Option C) is correct
Step-by-step explanation:
Given: Endpoints of the diameter of the circle are A(-1, -2) and B(3,10)
To find: slope of the tangent drawn to the circle at point B
Solution:
Let
Centre of the circle =
Let
Distance formula states that distance between points (a,b) and (c,d) is given by
Radius of the circle = Distance between points and = units
Let r = units
Equation of a circle is given by
Differentiate with respect to x
Put
So,
slope of the tangent drawn to this circle at point B =