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Mathematics Assignments & Worksheets For Class IX Chapter-wise mathematics assignment for class 09. Important and useful extra questions strictly according to the CBSE syllabus and pattern with answer key CBSE Mathematics is a very good platform for the students and is contain the assignments for the students from 9 th to 12 th standard. Here students can find very useful content which is very helpful to handle final examinations effectively. For better understanding of the topic students should revise NCERT book with all examples and then start solving the chapter-wise assignments. These assignments cover all the topics and are strictly according to the CBSE syllabus. With the help of these assignments students can easily achieve the examination level and can reach at the maximum height. Class 09 Mathematics Assignment Case Study Based Questions Class IX
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Conic Sections / Ellipse & Hyperbola / Chapter-11 / Class XI
Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics 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.
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. \[Mathematically:- Length \; of\; latus\; rectum\: \: is\: =\frac{2b^{2}}{a}\]
STANDARD EQUATIONS OF THE ELLIPSE:-
\[When\; major\; axis\; is\; along \; the\; x-axis\; then\; equation \; of \; the\; ellipse\; is\; \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\]
\[When\; major\; axis\; is\; along \; the\; y-axis\; then\; equation \; of \; the\; ellipse\; is\; \frac{x^{2}}{b^{2}}+\frac{y^{2}}{a^{2}}=1\]\[c^{2}=a^{2}-b^{2}\]
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.
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
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.
Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics
STANDARD EQUATIONS OF HYPERBOLA:-
\[When\; major\; axis \: \: is\: x-axis\: then \: equation\: of\: hyperbola\: is \: \: \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1\]\[When\; major\; axis \: \: is\: y-axis\: then \: equation\: of\: hyperbola\: is \: \: \frac{y^{2}}{a^{2}}-\frac{x^{2}}{b^{2}}=1\]
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
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
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 ........ (Common Sides ⇒ By ASA ≌ rule △ ACD ≌ △ ABC ⇒ AB = CD and BC = AD ….. By CPCT Theorem
E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10 lesson plan for maths class 10 cbse lesson plans for mathematics teachers, Method to write lesson plan for maths class 4, lesson plan for maths class 12 rational numbers, lesson plan for mathematics grade 10, lesson plan for maths in B.Ed. Lesson Plan For CBSE Class 10 (Chapter 13) For Mathematics Teacher TEACHER'S NAME : SCHOOL : SUBJECT : MATHEMATICS CLASS : X STANDARD BOARD : CBSE LESSON TOPIC / TITLE : CHAPTER 13: SURFACE AREA & VOLUME ESTIMATED DURATION: This topic is divided into seven modules and are completed in twelve class meetings. PRE- REQUISITE KNOWLEDGE:- Perimeter and Area: Class VII Visualizing Solid Shapes: Class VII Visualizing Solid Shapes: Class VIII Mensuration: Class VIII Surface Areas and Volumes: Class IX Knowledge of unit conversion in mathematics TEACHING AIDS:- Green Board, Chalk, Duster, Charts, solid figures, p
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