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Rajat Jain posted an Question

April 27, 2020 • 01:55 am

50 points

IIT JAM
Mathematics (MA)

The orthogonal trajectory of rn = a" cos ne. (a) (c) 9 b2 sin ne r-1= b2 sin ne (b) (d) rn = a2 cos ne none

The orthogonal trajectory of rn = a" cos ne. (A) (C) 9 b2 sin ne r-1= b2 sin ne (B) (D) rn = a2 cos ne None

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Priyadarshan Choursiya

you can see that in this question I consider every case for option c
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P
Priyadarshan Choursiya

see attachment
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note here it is not given that a is parameter
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if you take a as parameter. then follow #arzoo method
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I guess for family of curves, we have to consider 'a' as parameter.
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a is parameter
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#arzoo, please visit him just previous post, you find that there they mention a being parameter. and second this is that if in the question none option is not present then you will absolutely right. but there is 50% probability also of my answer.
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#rajat, when it is not mention in question you have to consider all the possibilities
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if #arzoo doesn't answer on your post before me then I explain both the condition. but I found that she already done that so I left that case, and explain that in comment box
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note that never take anything for granted, if there nothing mention then consider all cases. you don't face any kind of problems in exam
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thanks bro. I noted your point.
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They have to mention that 'a' is parameter here. But if we assume that here a could be fixed then we can't obtain differential equation. Because for that we need family of curves. So either we can say a is parameter or question is meaningless.
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Arzoo Best Answer

see the attachment.
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