JEE Delight: B Stat / B Math UGA 2017 A rare complete solution ( ISI ) [updated]

JEE Delight: B Stat / B Math UGA 2017 A rare complete solution ( ISI )

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[Mathsmerizing]

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[AlchemistOfXerxes亞]

This is one of the best lectures after Riemann's lecture on the existence of fourth dimension in the 19th century

[dhairyasuman]

Thank you do much for uploading this. This was a lifesaver. Could not find this anywhere over the internet. CHEERS!!!!

[avijitbhadury]

Wow! Finally I found out solutions, and that too so beautifully explained!

[TechToppers]

I think Problem 12 can heavily simplified by Power of a Point directly. Although I think solution is also very easy to follow!

[THUNDER-kwwq]

Sir in ques no. 23 if we keep on increasing spaces between z and y then after 13 spaces there will be no such place for x possible to fulfill the given above conditions

[vnommusic]

Pardon me sir.
In Q20 ( at 50:31 ),
My approach:

Let us assume f(x) attains minima at x=2
=> f(x) > f(2), ∀ x ∈ [0, 2)
Integrating both sides from 0 to 2, we've,
∫₀² f(x) dx > ∫₀² f(2) dx
∫₀² f(x) dx > f(2)[x]₀² = 2f(2)
(1/2) ∫₀² f(x) dx > f(2)
which is a contradiction.
Hence, f(x) cannot attain minima at x=2.

If I use the same argument for Maxima at x=2, given inequality holds true but that doesn't necessarily imply that the converse (i.e. If the inequality holds true then the f(x) must attain Maxima at x=2) is true. Isn't it?

[Amangupta-wqcf]

thank you so much sir!
really beautifully explained and very helpful!!

[debtirthiadhikary]

Sir in question 13 why you have consider (h, -h) and (k, k), means why you have consider minus

[johny]

Your series of solutions have really been very helpful for my prep....Thankyou Sir

[ujjawalrajsingh]

In ques no. 24, 1:01:40 if we have 2 vertices which are diametrically opposite then the angle subtended by it on any other vertex(if it lies) must be 90* ... therefore mulitipliction of slopes from p and q must be -1..but that way option d is satisfying the eqn..plz tell me where i went wrong

[khushalpatil]

is there any other way to solve Q28? the method you used seems out of blue and not thinkable during exam..

[sanchitmukherjee]

7th and 13th qn came today in WBJEE 2021😁😁

[aaghaatproductions]

in ques 10, can we consider a 20 sided polygon a circle?

[SattickDas]

Sir please upload UGA 2016 too!!!! 🔥❤️

[arundhatimukherjee]

Sir, in Q 5, can f'(x) be directly written? As it is given that the function is continuous in R, but continuity in an interval does not necessarily imply differentiability in that reply Sir, I have a great doubt about this, I need your answer for my conceptual

[AnjaliKumari-beqy]

sir in the second last question how the height is 36 cm

[debtirthiadhikary]

Sir can I give ISI entrance exam after first year of any other general college

[akashvatsa]

can anyone please tell what was the cut off of this paper?
please