Which of the following pair(s) of circles have / as a common external tangent? select all that apply. a and b a and c b and c

Answer with explanation:

A tangent to a circle is a Line which touches a circle at a single point.

       There can be Infinite number of tangents to a circle which are external only.

In the given figure:

⇒ There are three circles having Centers A, B and C.Circle having Center B lies inside the circle having center C.

⇒The three circles intersect at point T.

⇒The common tangent of these three circles passes through Point T.

⇒Circles having Center B and Center C , have a common external Tangent.

Option A,B and C:

→A and B

→A and C

→B and C

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%