Answer:
Point C is closest to the point P.
Step-by-step explanation:
In the diagram,
The Angle between a Tangent and a radius is 90°, therefore Triangle PAD is a right triangle.
In Right Triangle PAD,
Diameter of the Circle, |AD|=2 Inch
|PD|=1.2 Inch
Using Pythagoras Theorem
|AP|²=|AD|²+|PD|²
=2²+1.2²=5.44
|AP|=√5.44=2.33Inch
|AB|+|BP|=|AP|
1.7+|BP|=2.33
|BP|=2.33-1.7=0.63 Inch
Similarly, In Right Triangle POD
Radius, |OD|=1 Inch
|PD|=1.2 Inch
Using Pythagoras Theorem
|OP|²=|PD|²+|OD|²
=1.2²+1²=2.44
|OP|=√2.44=1.56 Inch
|OC|+|CP|=|OP|
1+|CP|=1.56
|CP|=1.56-1=0.56 Inch
Since |BP|=0.63 Inch and |CP|=0.56 Inch, the point C is closest to the point P.
