Basic concepts, definitions and formulas of mathematics, mathematics assignments for 9th standard to 10+2 standard, maths study material for 8th, 9th, 10th, 11th, 12th classes, Mathematics lesson plan for 10th and 12th standard, Interesting maths riddles and maths magic, Class-wise mathematics study material for students from 9th to 12

PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word “F A T H E R” Given word is : "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

The sections of the double napped right circular cone with the plane are called conic sections. eg:- circle, ellipse, parabola and hyperbola etc. all are the examples of conic sections.

APPLICATIONS:- These curves have wide applications in the field of planetary motion, design of telescope, antenas, reflectors of flash light and automobile headlights. Vertex of the double napped cone separate the cone into two parts each part is called Nappes. α (alpha) is the angle made by the generator with the x-axis.

Maths Conic Section Part 1 Class 11 NCERT-cbse mathematics

DIFFERENT TYPES OF CONIC SECTIONS:- CIRCLE:- When β(beta) = 90, then intersection of cone with plane is called circle. ELLIPSE:- When α<β<90 then intersection of plane and cone gives an ellipse. PARABOLA:- When α= β then intersection of plane and cone gives parabola. HYPERBOLA:- When 0<β<α then the intersection of plane and cone gives a hyperbola.

Maths Conic Section Part 1 Class 11 NCERT-cbse mathematics

CIRCLE:- A circle is the set of all points in the plane which are at equidistant from the fixed point in the plane. Fixed point is called the centre of the circle, and fixed distance is called the radius of the circle.

EQUATION OF THE CIRCLE:- Let us suppose that a circle of radius O(h,k) and let P(x,y) is any arbitrary point on the circle so that |OP| is the radius of the circle\[|OP|=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\]\[r=\sqrt{(x-h)^{2}+(y-k)^{2}}\]\[r^{2}=(x-h)^{2}+(y-k)^{2}\] This is called the standard form of equation of circle.

Equation of the circle having centre (h, k) and radius = r is \[(x-h)^{2}+(y-k)^{2}=r^{2}\]

When centre is at the origin then equation of the circle is \[(x-0)^{2}+(y-0)^{2}=r^{2}\; \; or\; \; (x)^{2}+(y)^{2}=r^{2}\] General Equation of a Circle

\[Equation\; of \; the\; form \; \; x^{2}+y^{2}+2gx+2fy+c=0\; is\; called\; general\; equation\; of\; circle.\]\[Here \; centre \; is\; (-g, -f)\; and \; radius\; is = \sqrt{g^{2}+f^{2}-c}\]\[If \; \; g^{2}+f^{2}-c> 0, then \; the\; radius\; of \; the\; circle\; is\; real\; and\; the \; circle\; is\; also\; real\]\[If \; \; g^{2}+f^{2}-c= 0, then \; the\; radius\; of \; the\; circle\; is\; also\; real\; and\; the \; circle\; is\; a \; point \; circle.\]\[If \; \; g^{2}+f^{2}-c< 0, then \; the\; radius\; of \; the\; circle\; is\;imaginary\; and\; the \; circle\; is\; also\]\[ an\; imaginary\; circle\; and\; it\; is\; not\; possible\; to\; draw\; such \; circle.\]

Special Features of General Equations of a Circle

It is quadratic in both x and y.\[Coefficient\; of\; x^{2}= coefficient\; of\; y^{2}\]

There is no term containing xy.

It contains three arbitrary constants.

PARABOLA Maths Conic Section Part 1 Class 11 NCERT-cbse mathematics

A parabola is the set of all points in a plane which are at equidistant from the fixed line and the fixed point. Para means "for" and bola means "throwing"

The fixed line is called the directrix and the fixed point is called the focus.

AXIS:- A line through the focus and perpendicular to the directrix is called the axis of the parabola.

VERTEX :- The point of intersection of the parabola with the axis is called the vertex of the parabola.

LATUS RECTUM:- 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.

Art Integrated Project on Conic Section Class 11

***********************************

🙏 Thanks for watching and reading

Maths Conic Section Part 1 Class 11 NCERT-cbse mathematics

E-LESSON PLANNING FOR MATHEMATICS TEACHER CLASS 10TH lesson plan for maths class X cbse, lesson plans for mathematics teachers, Method to write lesson plan for maths class 10, lesson plan for maths class X, lesson plan for mathematics grade X, lesson plan for maths teacher in B.Ed. RESOURCE CENTRE MATHEMATICS LESSON PLAN (Mathematics) : CLASS 10 th Techniques of Making E-Lesson Plan : Click Here Click Here For Essential Components of Making Lesson Plan Chapter 1 : Number System This lesson plan is for the teachers who are teaching mathematics class 10 th For Complete Explanation Click Here New Lesson Plan with Technology Integration as suggested by CBSE in March, 2021 Class 10 Chapter 1 : Number System For Complete Explanation Click Here Chapter 2 : POLYNOMIALS This lesson plan is for the teachers who are teaching mathematics class 10 th For Complete Explanation Click Here Chapter 3 PAIR OF

E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10 lesson plan for maths class 10 chapter 8 & 9 Trigonometry and application of trigonometry, lesson plans for mathematics teachers, Method to write lesson plan for maths class 10, lesson plan for maths in B.Ed. Board - CBSE CLASS –X SUBJECT- MATHEMATICS CHAPTERS 8 & 9 :- Trigonometry and applications of trigonometry TOPIC:- Chapter 8 & 9 Trigonometry and Application of Trigonometry DURATION:- These topics are divided into seven modules and are completed in ten class meetings. PRE- REQUISITE KNOWLEDGE:- Concept of right angled triangle, Pythagoras theorem, Algebraic Identities. TEACHING AIDS:- Green Board, Chalk, Duster, Charts, smart board, laptop, projector etc. METHODOLOGY:- Demonstration and Lecture method. OBJECTIVES:- Introduction, and basic formulas of trigonometry. Problems based on basic formulas. Val

E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10 lesson plan for maths class X chapter 5 Arithmetic Progression(AP), lesson plans for mathematics teachers, Method to write lesson plan for maths class 10, lesson plan for maths class X, lesson plan for mathematics grade X, lesson plan for maths teacher in B.Ed. Board - CBSE CLASS –X SUBJECT- MATHEMATICS CHAPTER 5 :- Arithmetic Progression TOPIC:- Chapter 5 : Arithmetic Progression (AP) DURATION:- This chapter is divided into seven modules and it is completed in fifteen class meetings. PRE- REQUISITE KNOWLEDGE:- Knowledge of number system, Simple methods of calculating the numbers. TEACHING AIDS:- Green Board, Chalk, Duster, Charts, smart board, laptop, projector etc. METHODOLOGY:- Demonstration and Lecture method. OBJECTIVES:- Knowledge of sequence and series. Motivation for studying Arithmetic Progression (AP). Derivat

## Comments

## Post a Comment