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All posts by Manish Verma

IITian ~ Consultant & Educator Manish Sir
Physics

Match the following: more than one and non-unique …

November 6, 2023 Manish Verma Leave a comment

[.pdf Download]

Mechanics
Physics

Let AB and CD be identical rods joined at …

November 5, 2023 Manish Verma Leave a comment

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Heat Transfer
Physics

Take each side of the pyramid having resistance …

November 4, 2023 Manish Verma Leave a comment

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Current Electricity
Physics

A point charge +q is brought near a solid isolated …

November 3, 2023 Manish Verma Leave a comment

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Electrostatics
Physics

Chain of bicycle moves through two sprockets …

November 2, 2023 Manish Verma Leave a comment

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Mechanics
Math

f(x) + f(y) + f(x)f(y) = 1

For all values of $x,y \in R$

f'(x) = ?

November 1, 2023 Manish Verma Leave a comment

Putting y = x we have,

$2f(x) + {\left[ {f(x)} \right]^2} = 1$

$2f(x) + {\left[ {f(x)} \right]^2} + 1 = 1 + 1$

${[f(x) + 1]^2} = 2$

$f(x) = – 1 \pm \sqrt 2 $

Since f(x) is a constant function, $f'(x) = 0$.

Differentiation
Physics

A scientist created a two dimensional circuit …

October 31, 2023 Manish Verma Leave a comment

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Resistance

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