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a-x a- y = qy px YZ prove that x, y, z are in H.P. If a-z and p, q, and r are in A.P., then If a, b, c, and d are in H.P., then prove that (b + c + d)/a, (c+d+a)/b, (d+ a + b)/c, and (a + b + c)/d, are in A.P.

a-x a- y = qy px YZ prove that x, y, z are in H.P. If a-z and p, q, and r are in A.P., then If a, b, c, and d are in H.P., then prove that (b + c + d)/a, (c+d+a)/b, (d+ a + b)/c, and (a + b + c)/d, are in A.P.

Advanced Engineering Mathematics
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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If a-x a-y = a-z and px qy rz prove that x, y, z are in H.P. p, q, and r are in A.P., then If a, b, c, and d are in H.P., then prove that (b + c + d)/a, (c+d+a)/b, (d+a+b)/c, and (a + b + c)/d, are in A.P.
Transcribed Image Text:If a-x a-y = a-z and px qy rz prove that x, y, z are in H.P. p, q, and r are in A.P., then If a, b, c, and d are in H.P., then prove that (b + c + d)/a, (c+d+a)/b, (d+a+b)/c, and (a + b + c)/d, are in A.P.
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