Given:
The equation of a circle is:
To find:
The center and radius of the circle.
Solution:
We have,
To make complete square add square of half of x and square of half of y on both sides.
...(i)
The standard form of a circle is:
...(ii)
On comparing both sides, we get
Therefore, the center of the circle is (-2,3) and the radius is 3 units.
Answer:
Step-by-step explanation:
Given: The distance from the centroid of a triangle to its vertices are ,
, and
.
To Find: Length of shortest median.
Solution:
Consider the figure attached
A centroid is an intersection point of medians of a triangle.
Also,
A centroid divides a median in a ratio of 2:1.
Let G be the centroid, and vertices are A,B and C.
length of
length of
length of
as centrod divides median in ratio of
length of
length of
length of
Hence the shortest median is of length
