JEE Main

This Category will divide the articles that are useful for jee mains. This could include theory, solved examples, unsolved examples, test papers and previous year papers.

Rolle’s and other mean value theorems : Proof and Examples

Rolle’s and other mean value theorems with proof and Examples  There are 3 important mean value theorems, Rolle’s theorem , Langrage’s theorem and cauchy mean value theorems Statement of Rolle’s theorem       Let a real valued function  f  be defined on the closed interval [a, b] such that,           …

Rolle’s and other mean value theorems : Proof and Examples Read More »

Arithmetic Progression Formula, Problems fully Explained

Do want to know arithmetic progression formula with proof or you are looking for some problems. To be able to fully understand what is Arithmetic progression or arithmetic sequence, you must have a fair enough Idea about what is Sequence,  Series and Progression. Once you are well versed with the terms, we can move ahead …

Arithmetic Progression Formula, Problems fully Explained Read More »

Trigonometric Ratios and Identities formula and Examples

Trigonometric Ratios Identities  formula and Examples   Trigonometric Ratios In a Right angled triangle PQR, let angle Q be the right angle and angle QPR equals θ. Then for angle θ, PQ is the base, QR is the perpendicular, and PR is the hypotenuse.   Then 6 ratios are possible among 3 sides. $\frac{Perpendicular}{Hypotenuse}=\frac{QR}{PR}=\sin \theta …

Trigonometric Ratios and Identities formula and Examples Read More »

Double Triple and Sub-Multiple angle Identities and formula

Double Triple and Sub-Multiple angle Identities         Double angle Formula We can use the sum of angle formula of trigonometric ratios to create double angle formulas. Double angle formulas are very important to remember as they are directly applicable in problems. Double angle formula for sine             …

Double Triple and Sub-Multiple angle Identities and formula Read More »

Detailed Complex number division and multiplication

 Complex number, its division and multiplication Do you wonder what exactly is a complex number how to carry out its algebraic operation like division and multiplication? And why are complex numbers useful? Till this point of time I suppose you already know what is Number System. You should be well familiar with Integers, Rational, Irrational …

Detailed Complex number division and multiplication Read More »

Permutation and Combination Examples with study notes

Permutation and Combination Formula Examples with study notes Do you get confused in permutation and combination ? Or you don’t even know what is the difference between permutation and combination? Or While solving Permutation and Combination Questions you don’t know which one to use. After reading this entire post You will know crystal clear difference …

Permutation and Combination Examples with study notes Read More »

What is Conjugate Modulus and Argument of a complex number

Conjugate of a complex number for any complex number z = $x+i\,y,\,\,(x\,,\,y)$ ∈ R, then its conjugate is defined as . Hence, we have $\operatorname{Re}(z)\,\,=\,\frac{z\,+\,\bar{z}}{2}$ and $\operatorname{Im}\,(z)\,\,=\,\frac{z-\bar{z}}{2\,i}$. Geometrically, the conjugate of a complex number z is the reflection or point image of z in the real axis.   Some important things about complex conjugate   …

What is Conjugate Modulus and Argument of a complex number Read More »

Change