Part 1 1. Find the equation (formula) of a circle with radius r and center C(hk) and if the Center of a circle is at (7,-2) and a point on the circle is (-3,5) find the formula of the circle. 2. Find the equation (formula) of a sphere with radius r and center C(h, k, l) and show that x² + y²+z² - 14x+6y-2z-3=0 is an equation of a sphere. Also, find its center and radius. 3. Following figure shows a Parallelogram A b B C a D If a=(21-j+3k), b=(3i+5j-k), find the area of the Parallelogram.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Part 1
1. Find the equation (formula) of a circle with radius r and center C(hk) and if the Center of a circle
is at (7,-2) and a point on the circle is (-3,5) find the formula of the circle.
2. Find the equation (formula) of a sphere with radius r and center C(h, k, l) and show that
x² + y²+z² - 14x+6y-2z-3=0 is an equation of a sphere. Also, find its center and radius.
3. Following figure shows a Parallelogram
A
b
B
C
a
D
If a=(21-j+3k), b=(3i+5j-k), find the area of the Parallelogram.
Transcribed Image Text:Part 1 1. Find the equation (formula) of a circle with radius r and center C(hk) and if the Center of a circle is at (7,-2) and a point on the circle is (-3,5) find the formula of the circle. 2. Find the equation (formula) of a sphere with radius r and center C(h, k, l) and show that x² + y²+z² - 14x+6y-2z-3=0 is an equation of a sphere. Also, find its center and radius. 3. Following figure shows a Parallelogram A b B C a D If a=(21-j+3k), b=(3i+5j-k), find the area of the Parallelogram.
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