26 Replies
@Apu
Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.Idk what to do
use tan(a-b) formula and square it and they have given that tan(phi)=ntan(theta) so it will simplify
The denominator is causing problem
1+tantheta.tanphi whole square cant be simplified
Ig it should be A since numerator is getting n-1 whole square
Simplify karke batao
Is the answer A?
yes
U can always put values and check ig , this works with 45 and 30 deg
Btw , kaunsa batch mila?
hit and trial?
nhi hua abhi phase test
Yeah, for some reason It doesn't work with 15 and 45 tho
Ohhh
koi aur tarika hai kya
Idk man , I solved by squaring and got n-1 whole sq in numerator so figured it will in terms of that only
[t(n-1)/(1+nt²) ]² maxima..
Yaani
[t/(1+nt²)]² maxima nikalna hai.
Jaha n is already constant..
So differentiate and find t for maxima.
isko differentiate
😭🙏
nahi sikhaya hai ye tarika
t/(1+nt²) ke square ka maxima means;
iska hi maxima nikalna hai
(1+nt²) -t[2tn] = 0
2nt²-nt²-1 = 0
nt²= 1
So t²= 1/n for maxima..
Ab bas.. equation mei plug kardo..
[t(n-1)/(1+nt²)]²
=(N-1)²(1/n)(1/2)²
= (N-1)²/4n
Are pahlwaan
Maxima ya minima are at the extremeties of the given function...in fact any function which is continuous and/or differentiate at all the given points..
So at these points the slope of the function equals zero..
Physics mei bhi padhate hai(11th)
aur meth mei bhi depth mei padhaege 12th mei
Acha
Toh ha yeh question mixed concept ka hai aur thoda sa 11th ka physics-> maxima minima ka concept bhi lagta hai baaki toh trig ka ek hi formula hai..
Karta hu try
Bhai dusre step me kya kiya
F/G rule lagaya
Ab g² jo denominator mei tha voh toh infinity hone se raha toh usko dusre side multiply kar diya
{(n - 1)t/1 + nt²}² ka nikala haina maxima
Also incase you needed the smalled value of their square note how if that term becomes infinity the whole squared term becomes 0 which is it's minimum value
Ha ab kyuki (n-1)² is a constant value mene use ekdum bahar nikal diya taaki condition nikalke baadmei plug kar du
Acha
Also x² ka differentiation is 2xdx toh x kyuki zero nahi ho sakta humein basically dx ko hi zero prove karna hai..
Yaane ki iss case mei uss poore ke square ka maxima means ki usi term ka maxima
+solved @Sam @hardcoreisdead
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