Find the equation of- 1.1)a sphere 1.1.1) passing through (1,0,0), (0,2,0), (0,0,3) and (0,0,0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1.2) The circle obtained intersection of the plane
X+y+z=0 with the sphere obtained in each part of
Q(1.1). Also find their centre and radii.
Transcribed Image Text:1.2) The circle obtained intersection of the plane X+y+z=0 with the sphere obtained in each part of Q(1.1). Also find their centre and radii.
Find the equation of-
1.1)a sphere
1.1.1) passing through (1,0,0), (0,2,0), (0,0,3) and
(0,0,0)
1.1.2) Containing the circle (if exist)
X^2+y^2+z^2+4x-140=0=x^2+y^2+z^2-16x-17
and passing through the point (1,1,1)
1.1.3) Containing the circle
X^2+y^2+z^2=25, x+y+z=5
And passing through (1,1,1).
Transcribed Image Text:Find the equation of- 1.1)a sphere 1.1.1) passing through (1,0,0), (0,2,0), (0,0,3) and (0,0,0) 1.1.2) Containing the circle (if exist) X^2+y^2+z^2+4x-140=0=x^2+y^2+z^2-16x-17 and passing through the point (1,1,1) 1.1.3) Containing the circle X^2+y^2+z^2=25, x+y+z=5 And passing through (1,1,1).
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