Which of the following two families of curves are orthogonal trajectories of each other? I. T. y = c, c +0 2? – y? = k, k + 0 II. z/y = c, c +0 7 - y? = k, k + 0 | II. 2. y = c, c † 0 22 + y? = k, k + 0 IV. /y = c, c+ 0 a2 + y? = k, k 0 O a. I,II O b. II, IV O c. I,IV O d. II, II O e. I

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Which of the following two families of curves are orthogonal trajectories of each other?
1. T. Y = C, c † 0
a? – y? = k, k + 0
II. 2/y = c, c/ 0
2² - y? = k, k + 0
II. æ. y = c, e / 0
22 + y? = k, k + 0
IV. 2/y = c, c + 0
x + y? = k, k + 0
O a. I,II
O b. II, IV
O c LIV
O d. II, II
O e. l
Transcribed Image Text:Which of the following two families of curves are orthogonal trajectories of each other? 1. T. Y = C, c † 0 a? – y? = k, k + 0 II. 2/y = c, c/ 0 2² - y? = k, k + 0 II. æ. y = c, e / 0 22 + y? = k, k + 0 IV. 2/y = c, c + 0 x + y? = k, k + 0 O a. I,II O b. II, IV O c LIV O d. II, II O e. l
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