how many tangents are possible when c1c2 = r1+r2
Answers
the two circles touch each other externally. so there are 3 common tangents possible.
Answer:
3 tangents are possible when the circle touch each other.
Explanation:
As the expression given is C₁C₂= r₁+ r₂
C₁C₂ represents the distance between the centers of the circles.
r₁ represents the radius of the first circle
r₂ represents the radius of the second circle.
C₁C₂= r₁+ r₂ represents that the distance between the centers of the circle is equal to the sum of the radius, it means the circle touch each other.
When the circle touch each other then there are only three tangents are possible.i.e. two direct common tangents and one transverse tangent.
Direct common tangent:
A common tangent is called a direct common tangent if both the circles lie on the same side of it.
transverse common tangent:
A common tangent is called a transverse common tangent if the circles lie on opposite sides of it.
