Welcome. Teacher’s Introduction Md. Shamsuzzaman Lecturer (Mathematics) Joypurhat Girls’ Cadet College Mobile: 01716722384

Slides:

Advertisements

Similar presentations

1.2: Graphs of Equations 1.3: Linear Equations

Advertisements

Class: IV Sub: Maths TOPIC: CARTS AND WHEELS

Problem Set 2, Problem # 2 Ellen Dickerson. Problem Set 2, Problem #2 Find the equations of the lines that pass through the point (1,3) and are tangent.

Notes Over 10.3 r is the radius radius is 4 units

1 OBJECTIVES : 4.1 CIRCLES (a) Determine the equation of a circle. (b) Determine the centre and radius of a circle by completing the square (c) Find the.

2.2 Parallel and Perpendicular Lines and Circles Slopes and Parallel Lines 1. If two nonvertical lines are parallel, then they have the same slopes. 2.

CIRCLES Unit 3-2. Equations we’ll need: Distance formula Midpoint formula.

Mathematics 116 Bittinger Chapter 7 Conics. Mathematics 116 Conics A conic is the intersection of a plane an a double- napped cone.

Circles Date: _____________.

Compound Locus Page 7-9. Steps for solving compound loci problems: 1.Find all possible points for first locus. Mark with dotted line or smooth curve.

Distance and Midpoint Formulas; Circles

The Circle By Ranjana O A CIRCLE Eg. ball,bangle,lemon.coin.

EXAMPLE 1 Graph an equation of a circle

EXAMPLE 1 Graph an equation of a circle Graph y 2 = – x Identify the radius of the circle. SOLUTION STEP 1 Rewrite the equation y 2 = – x

Definitions  Circle: The set of all points that are the same distance from the center  Radius: a segment whose endpoints are the center and a point.

Circles: Objectives/Assignment

10.6 Equations of a Circle Standard Equation of a Circle Definition of a Circle.

EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. The radius is 3 and the center is at the origin. x 2 + y 2 = r 2 x 2 +

10.6 Equations of Circles Advanced Geometry. What do you need to find the equation of a circle? Coordinates of the Center of the circle. Radius – Distance.

C2: Coordinate Geometry of the Circle Learning Objective: To be able to find and use the equation of a circle.

Standard Form for the Equation of the Circle

Welcome. Md.Saiful Islam M.A, B.Ed. Senior English Teacher Morsula Girls High School Naogaon Sadar,Naogaon ID No: o4 Mobile No:

Circle : A closed curve formed in such a way that any point on this curve is equidistant from a fixed point which is in the interior of the curve. A D.

College Algebra 1.9 Circles. Objectives Write the standard form of the equation of a circle. Graph a circle by hand and by using the calculator. Work.

EXAMPLE 4 Graph a circle The equation of a circle is (x – 4) 2 + (y + 2) 2 = 36. Graph the circle SOLUTION Rewrite the equation to find the center and.

Circles Circles/Ellipse Quiz: March 9 Midterm: March 11 (next Thursday)

Locus – Equation of Circle Page 5. Essential Question: What is the difference between a linear equation, quadratic equation, and the equation of a circle?

EXAMPLE 3 Write the standard equation of a circle The point (–5, 6) is on a circle with center (–1, 3). Write the standard equation of the circle. SOLUTION.

Unit 1 – Conic Sections Section 1.2 – The Circle Calculator Required.

Section 2 Chapter Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives The Circle and the Ellipse Find an equation of a circle.

Making graphs and solving equations of circles.

Std. :- 5th Sub. :- Mathematics Chapter no. 19 Circle.

CIRCLE Circle is the locus Of all poins equidistant From a central poins.

Section 2.4 – Circles Circle – a set of points in a plane that are equidistant from a fixed point.

LOCUS IN THE COMPLEX PLANE The locus defines the path of a complex number Recall from the start of the chapter that the modulus and the argument defines.

Section 11.1 Section 11.2 Conic Sections The Parabola.

Section 6.2 – The Circle. Write the standard form of each equation. Then graph the equation. center (0, 3) and radius 2 h = 0, k = 3, r = 2.

Algebra II Honors Problem of the Day Homework: p odds Without graphing find all symmetries for each equation.

Warm-Up Find the distance and the midpoint. 1. (0, 3) and (3, 4)

Equations of Circles. Vocab Review: Circle The set of all points a fixed distance r from a point (h, k), where r is the radius of the circle and the point.

Warm Up  What do you know about circles?. Algebra 3 Chapter 10: Quadratic Relations and Conic Sections Lesson 3: Circles.

The Circle. Examples (1) – (5) Determine the center and radius of the circle having the given equation. Identify four points of the circle.

Circles Learning goals: Write the equation of a circle. Use the equation of a circle and its graph to solve problems. Graphing a circle using its four.

9.6 Circles in the Coordinate Plane Date: ____________.

8.1 The Rectangular Coordinate System and Circles Part 2: Circles.

We will only look at Circles and Parabolas this year.

GeometryGeometry Equations of Circles. GeometryGeometry Finding Equations of Circles You can write an equation of a circle in a coordinate plane if you.

Chapter 10.7 Notes: Write and Graph Equations of Circles

Higher Maths 2 4 Circles1. Distance Between Two Points 2Higher Maths 2 4 Circles The Distance Formula d =d = ( y2 – y1)²( y2 – y1)² + ( x2 – x1)²( x2.

Do Now Write the equation for the locus of points 5 units from the point (-5,6)

Equation of a Circle. Equation Where the center of the circle is (h, k) and r is the radius.

EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. SOLUTION The radius is 3 and the center is at the origin. x 2 + y 2 = r.

Hyperbolas Objective: graph hyperbolas from standard form.

SHIPAN CHANDRA DEBNATH ASSISTANT PROFESSOR & HEAD OF THE DEPARTMENT DEPARTMENT OF MATHEMATICS CHITTAGONG CANTONMENT PUBLIC COLLEGE WELCOME.

Circles A review?. Let's review what we already know about circles. Definition: A circle is a locus (set) of points in a plane equidistant from a fixed.

  Where the center of the circle is (h, k) and r is the radius. Equation.

Advanced Algebra H Notes Section 9.3 – Graph and Write Equations of Circles Objective: Be able to graph and write equations of circles. A _________ is.

Circles March 18th A ___________ is the set of all point that are a fixed distance, called the _________ from a fixed point, called the _________.

WELCOME. Teacher Introduction Md. Shamsuzzaman Lecturer(Mathematics) Joypurhat Girls' Cadet College.

THE HIGHER MATHEMATICS CLASS

THE HIGHER MATHEMATICS CLASS

Notes Over 10.3 r is the radius radius is 4 units

THE HIGHER MATHEMATICS CLASS

THE WORLD OF SHAPES CIRCLES.

Circles in the Coordinate Plane

10-7: Write and Graph Equations of Circles

5.1 Integrals Rita Korsunsky.

Chapter Equations of Circles.

Presentation transcript:

Welcome

Teacher’s Introduction Md. Shamsuzzaman Lecturer (Mathematics) Joypurhat Girls’ Cadet College Mobile:

Class: XI Subject: Higher Mathematics Chapter: Four Time: 40 Minutes Dated: 06/01/2016

What type of picture ? Circle

1. To say what is the general equation of circle. 2. Determine the equation of the circle with given centre and radius. 3. Solve mathematical problem related to circle. Objectives:

Wheel Circle X Y O Centre Radius

A circle is the locus of all points equidistant from a fixed point. The fixed point is called the centre of the circle and the constant distance its radius. O(h, k) A r If the centre of the circle is O (h, k) and radius OA=r then the equation of the circle is

General Equation of Circle Then centre=(-g, -f) and radius OA = O(-g,-f ) A

Single Work 1. Write down the general equation of circle. 2. Determine the centre and radius of the circle

Solution: (Single Work) Centre is ( 3, 2) and radius is 3

Q. Find the equation of the circle whose centre is at the point (7, 2) and which passes through the centre of the circle Solution: centre of the given circle is (3, 5) and radius is The equation of circle is

Group Work: Q. A circle whose centre is (-4, -5) and passes through the origin. Find the equation of the circle.

Solution:(Group Work) Centre= The equation of circle is

Evaluation 1. Write down the general equation of circle. 2. Find the centre and radius of the circle

1. Find the equation of the circle whose centre is(3, 5)and radius is 10 units. 2. Find the centre and radius of the circle Home Work

Thank you