- 0, x − 2 y + z − 6 and x + y + z = 1 is 36 y of light passing through the point 4(1,2,3), stri on reflection passes through point C(3, 5, 9). Fino the radius of the circular section in which the sph + k) = 3√√/3

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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(a) Find the locus of a point, the sum of squares of whose distances from the planes
- 6 and x + y + z = 1 is 36
x = z = 0, x
2 y + z
-
(b) Aray of light passing through the point 4(1,2,3), strikes the plane x + y + z = 12
at 8 and on reflection passes through point C(3, 5, 9). Find the coordinates of point B
(c) Find the radius of the circular section in which the sphere vec|r | = 5 cut by the plane
r. (i+j+ k) = 3√√3
Transcribed Image Text:(a) Find the locus of a point, the sum of squares of whose distances from the planes - 6 and x + y + z = 1 is 36 x = z = 0, x 2 y + z - (b) Aray of light passing through the point 4(1,2,3), strikes the plane x + y + z = 12 at 8 and on reflection passes through point C(3, 5, 9). Find the coordinates of point B (c) Find the radius of the circular section in which the sphere vec|r | = 5 cut by the plane r. (i+j+ k) = 3√√3
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