What is the length of the radius of a circle with a center at 2 + 3i and a point on the circle at 7 + 2i?

Length of the radius of a circle =

Step-by-step explanation:

a circle with a center at 2 + 3i and a point on the circle at 7 + 2i

To find the length of the radius, find the distance between the center and a point on the circle

center is 2+3i that is (2,3)

point is 7+2i that is (7,2)

distance formula is

Plug in the values in the formula

Distance=

Distance=

Distance=

Length of the radius of a circle =

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

2nd one in the first row is correct