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Complex Numbers Complex numbers are the numbers of the form $a+ ib$ where $i= \sqrt {-1}$ and a and b are real numbers Algebra for i $i= \sqrt {-1}$$i^2= -1$$i^3 =i \times i^2= -i$$i^4= i^2 \times i^2 = 1$$i^{4n} =1$$i^n + i^{n+1} + i^{n+2} + i^{n+3} =i^n( 1 + i +i^2 + i^3 ) = […]
Complex Numbers Shorts Notes and Formula for JEE Main and Advanced Read More »
BITSAT 2024 is the Birla Institute of Technology and Science Admission Test for admissions to engineering courses at the famous BITS campuses in Pilani, Goa and Hyderabad. This is a object type question examination where student abilities are checked on physics,chemistry,Maths,Biology, English Proficiency and Logical reasoning. Here are some of the BITSAT preparation books for
BITSAT Preparation books Read More »
Part 3 of BITSAT paper contains questions on English and Logical Reasoning. Here is the syllabus for both English Proficiency and Logical Reasoning. There will be 10 MCQ for English and 20 MCQ for Logical Reasoning English Proficiency This test is designed to assess the test takers’ general proficiency in the use of English language
BITSAT Syllabus 2024: English & Logical Reasoning Read More »
Sequence It means an arrangement of number in definite order according to some rule Important Points Arithmetic Progression An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant a, a+ d, a+2d. a+ 3d Important formula 1. How to Prove if the sequence is AP
Sequence and Series Formula for JEE Main/Advanced Read More »
The integral ($\int e^{ax} \sin(bx) \, dx$) is computed as: \[\int e^{ax} \sin(bx) \, dx= \frac{a e^{ax} \sin(bx)}{a^2 + b^2} – \frac{b e^{ax} \cos(bx)}{a^2 + b^2}+ C\] Proof of Integration To solve the integral $\int e^{ax} \sin(bx) \, dx$, we can use the method of integration by parts, which is based on the formula: $$\int
integration of e^{ax} sin bx Read More »
The integration of a periodic function involves some unique properties and approaches due to the function’s repeating nature. A function $f(x)$ is said to be periodic with period $T$ if for all $x$ in the domain of $f$, $f(x + T) = f(x)$. This periodicity can significantly simplify the integration process over intervals that are
Integration of periodic functions Read More »
Q1. What is the difference between reflection and refraction?
Q2.Refraction is caused by
a. different wave speeds.
b. more than one reflection.
c. displaced images.
d. bending.
Q3. What will happen to ray of light when it travels from rarer medium to a denser medium ?
Q4. What is absolute refractive index ?
Q5. If refractive index of glass is 1.65, What is the speed of light in glass. ?
Class 10 CBSE Reflection and refraction extra questions Read More »
Glossary of Mirror and Lenses
Plane Mirror
A plane mirror is a mirror with a planar reflective surface. For light rays striking a plane mirror, the angle of reflection equals the angle of incidence.It always form virtual image
Concave or Converging Mirrors
A curved mirror that has its center farther away from you than its edges is called a concave mirror. A concave mirror tends to reflect parallel rays through a point called its focus – in other words a concave mirror converges light. Therefore concave mirrors are often referred to as converging mirrors. This converging effect makes sense if you imagine a concave mirror to be an array of small plane mirrors.You can demonstrate the converging of parallel light rays by a concave mirror quite dramatically for yourself. A relatively small concave mirror placed in the sun will gather enough light to ignite a small piece of paper quite quickly
Convex or Diverging Mirrors
Mirror and Lens Problems for Class 10 Read More »
