Complex number and trigno

De Moivre's formula

If you ever find yourself trying to remember any one of those basic trigonometric formulas, the ideal starting point is the De Moivre's formula:

Above we have given you some examples of identities that can be easily derived using this formula. In fact, most trigonometric relations can be obtained from this formula after performing some basic algebra.

 

17 equations that changed the world.

Pythagoras Theorem

Pythagoras Theorem :- A theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

h² = P² + B²

Infinite Series : - Convergence and Divergence, Alternating Series, Liebnitz's test, Absolute Convergence and Conditional Convergence

Integration formula

Formula of Conic Section

1. Formula of circle

(x-h)² + (y-k)² = r²
Where C(h,k) is centre
P(x,y) is point on circle
And CP = r is radius of circle




2. Formula of parabola
       

 Directrix is called the fixed line.
Focus is the fixed point F.
Axis of parabola is a line through the focus and perpendicular to the directrix.

 

*  y² = 4ax

 * y² = -4ax

 

* x² = 4ay

* x² = -4ay







Latus rectum of a parabola is a line segment perpendicular to the axis of the parabola, through the focus and whose end points lie on the parabola.

Length of latus rectum = 4a

Question 16, Chapter 7, Class 12, Mathematics, NCRT ,CBSE

Solution 16.

A TEXT BOOK of MACHINE DESIGN by R.S Khurmi and J.K Gupta

Example 43 , Chapter 7, Class 12 , Mathematics, NCRT, CBSE

Example 43. Evaluate

Properties of definite integral

Assignment 1, Chapter 3, Trigonometry functions ,Class 11, Mathematics

                              Rk institute
Assignment - 1                       
Class - 11, Maths
Chapter - 3

Q1. Find radian measure corresponding to following degree measure ?
(a) 300°          (b) 35°         (c) -56°         (d) 135°
(e) -7°30'
Q2.Find degree  measure corresponding to following radian measure?
(a) 9π/5          (b) -5π/6      (c) 18π/5      (d) -3
(e) 1
Q3. A circular wire of radius 3cm is cut and bent so as to lie along the circumference of a hoop whose radius is 48cm. Find the angle in degrees which is subtended at the centre of hoop?
Q4.A wheel makes 1440 revolution in 10 minutes. Through how many radians does it turn in one second?
Q5. The minute hand of a watch is 1.5 cm long. How far does it's tip move during a class of period of 50 minutes?
Q6. Find the ratio of the radii of two circles at the centres of which two equal arcs subtend angles of 25° and 63°.

Assignment 1, Continuity and differentiability , Class12 , Maths

Question 1, Exercise 3.3, Chapter 3, Class 11, Mathematics, CBSE

De Moiver's theorem

Theorem 6.1 Chapter 6 Class 10 Mathematics CBSE

Theorem 6.1 : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. 

Sets chapter 1, Class 11

https://youtu.be/dWi-ttgnT1o

Factors of cubic polynomial

https://youtu.be/PGY9MDtW0ko

Example 29 class 11 chapter 3 maths

https://youtu.be/mO1TNkIOzYA

Example 29 chapter 3 maths class11

https://youtu.be/mO1TNkIOzYA

Algebra symbols