Story of Division of 17 Camels among 3 Sons Storytelling creates an opportunity for students to understand the meaning of mathematics through making connections. “connect mathematical concepts to each other and to real life problems.
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Conic Sections Ellipse & Hyperbola Class 11 | Ch-10
Conic Sections | Ellipse & Hyperbola | Chapter-11 | Class XI
Conic Section, Ellipse and its complete explanation with diagrams, Hyperbola and its complete explanation with diagrams
ELLIPSE An ellipse is the set of all points in a plane sum of whose distances from two fixed points in the plane is a constant. The two fixed points are called foci.
Eccentricity < 1
CENTRE OF THE ELLIPSE:- The mid point of the line segment joining the foci is called the centre of the ellipse.
MAJOR AXIS:- A line segment passing through the foci of the ellipse is called the major axis.
MINOR AXIS:- A line passing through the centre of the ellipse and is perpendicular to the major axis is called minor axis.
ECCENTRICITY:- It is defined as the ratio of the half of the distance between the foci to the length of the semi major axis. Mathematically:- e = c / a
LATUS RECTUM:- It is the line segment perpendicular to the major axis through any of the foci and whose end points lie on the ellipse. Mathematically Length of latus rectum is =
STANDARD EQUATIONS OF THE ELLIPSE:-
When major axis is along the x-axis then equation of the ellipse is When major axis is along the x-axis then equation of the ellipse is
Where
PROPERTIES OF ELLIPSE
HYPERBOLA:-
It is the set of all points in a plane, the difference of whose distances from two fixed points in the plane is fixed or constant. Eccentricity > 1
TRANSVERSE AXIS:- The line through the focuses is called transverse axis. Length of transverse axis is 2a.
CONJUGATE AXIS:- A line through the centre and perpendicular to the transverse axis is called conjugate axis. Length of conjugate axis is 2b Distance between two focii is 2c, where
ECCENTRICITY:- The ratio e = c/a is called eccentricity
LENGTH OF LATUS RECTUM:- It is the line segment perpendicular to the transverse axis through any of the focuses and whose end points lie on the hyperbola.
STANDARD EQUATIONS OF HYPERBOLA:-
When major axis is x-axis then equation of hyperbola is
When major axis is y-axis then equation of hyperbola is
PROPERTIES OF HYPERBOLA
Art Integrated Project on Conic Section Class 11
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Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics
Theorems on Parallelograms Ch-8 Class-IX Explanation of all theorems on Parallelograms chapter 8 class IX, Theorem 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, Mid point theorem and its converse. All theorems of chapter 8 class IX. Theorem 8.1: Prove that a diagonal of a parallelogram divides it into two congruent triangles. Given: In Parallelogram ABCD, AC is the diagonal To Prove: △ACD ≌ △ABC Proof: In △ACD and △ABC, ∠1 = ∠2 ......... (Alternate angles ∠3 = ∠4 .......... (Alternate interior angles AC = AC ........ (Common Sides ⇒ By ASA ≌ rule △ACD ≌ △ABC Theorem 8.2: In a parallelogram, opposite sides are equal. Given: ABCD is a parallelogram To Prove : AB = CD and BC = AD Proof: In △ ACD and △ ABC, ∠ 1 = ∠ 2 ......... (Alternate angles ∠ 3 = ∠ 4 .......... (Alternate interior angles AC = AC ........ ...
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
Mathematics Lab Manual Class X lab activities for class 10 with complete observation Tables strictly according to the CBSE syllabus also very useful & helpful for the students and teachers.
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