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Vijay posted an Question
April 06, 2021 • 23:33 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Please send a solution to the problem given in the attachment

please send a solution to the problem given in the attachment

2 Answer(s) Answer Now
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    Deepak singh 1 best-answer

    Refer attached solution , option b is correct .

    cropped2807213584858229182.jpg
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    doubt

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    see..

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    but why are we checking it at infinity?

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    to draw graph.. its not general method , its just a trick for observing..

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    just because x had a degree two you drew a parabola, right? I thought it would not be a parabola as it had trig. functions in them.

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    yes , you thought correct , since sinx and cosx are bounded functions , we can neglect them here , after that we get a parabola..

  • comment-profile-img>
    Piyush pachauri best-answer

    PFA. Option B is correct

    cropped2945721868816222475.jpg
    cropped7878376474831553112.jpg
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    please show it analytically.

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    check another image I have attached.

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    doubt

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    yes , that's why x has to be zero.

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    we only have one root and acc. to the thm. we should have had two roots?

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    we should have two roots of f around one root of f'

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    this is getting a little fuzzier now.

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    Look at the graph of sinx and cosx combined. Try to see zeros of both function.

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