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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

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

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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

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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