Overkill methods/concepts for fast JEE(A) problem solving (Don't post anything too much beyond pyq level)

Ex :
Field transformation in MEEC
vector analysis in Projectile
Thevenins equivalent in Circuits
Taylor series for SHM

Kindly add in more useful overkill methods… @everyone

Edit:
Kindly also share some material to follow on with the methods/theorms
{Field transformation in MEEC:

Vector analysis in Projectile:

Thevenins equivalent:

Taylor series for shm:
(Take a look in pg book)
}

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Complex number in AC circuits

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Reduced mass = m1m2/m1+m2 and some concepts related to it (like energy,SHM)
Saves calculation many times

:point_up: Read derivation (Newtonian mechanics) , Moment of inertia of two point masses in a line, Collisions of particles
Also watch

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Using Fermats principle in solving mechanics.Like minimum time problems in kinematics

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@Devansh_Jain @Aaryan guys it would be wonderful if you attach some related video/notes to the topix you have written.

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Rotational Matrices.

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Easily done using refraction

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If a = b^2 and let f(x) = a^x \over {a^x +b } then f(x) + f(1-x) = 1

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are we supposed to remember this… coz this is easily provable :roll_eyes:

Iska kahi direct application hai Kya? @Lavesh

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2020 me ek Question aaya tha na
{4^x} \over {4^x +2} wala toh usme lag raha tha ye.

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Wiasa to iss sal Feb Mains me v aaya tha

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usse pehle bhi aaya tha ig

somewhere 2014-15 maybe…

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Read this article on cyclicity of Functional equations. And the idea can be expanded.

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Are some std results from higher calculus (multivariable calc) useful in difficult single variable calculus questions?.. I’ve heard Chirag Falor telling on quora on how some of the “tricks” helped him…??..(any seniors here may guide)

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langrane multipliers could be used in maximising or minimising

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any reference video please

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