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.

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 54E

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