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Engineering Mathematics
book

Engineering Mathematics

by Babu Ram
June 2009
Intermediate to advanced content levelIntermediate to advanced
1100 pages
42h 22m
English
Pearson India
Content preview from Engineering Mathematics
11.21 EQUATION OF A SPHERE PASSING THROUGH FOUR POINTS

Let the equation of the sphere be

 

x2 + y2 + z2 + 2gx + 2fy + 2hz + c = 0.   (1)

 

Let this sphere pass through four points (x1, y1, z1), (x2, y2, z2), (x3, y3, z3), and (x4, y4, z4). Thus,

 

image

 

image

 

image

 

and

 

image

 

Eliminating g, f, h, and c from (1), (2), (3), and (4), we get

 

EXAMPLE 11.66

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Publisher Resources

ISBN: 9789332515611