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Dubai

Circles ( Special Equation)

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Published in: Mathematics | Maths
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The Handout will enable any student to understand the basic parent graph of a circle and different other equations of circles in line with the parent graph. The handout is designed to help students in their GCSE ( Edexcel) And A levels ( Cambridge , Edexcel )

Syed A / Dubai

12 years of teaching experience

Qualification: Bachelors in Science ( Telecommunication)

Teaches: Mathematics, Statistics, MCAT, Maths, IGCSE/AS/AL, IB Exam Preparation

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  1. The Math Bender by Ad nan Zaidi Circle (Special Equation)
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  3. Find the centre and radius of the circle with each of the following equations. c x2 + 22x —40 e 2x2 +2y2—6x+ 5y=2x — 3y -3 dtL — 2 la — 40=0 +90=0 2 14b —rx 130 - ID Cau fa + b _ 10 4' Hint in one of the follc .x2 + + 2fx + 2g Ill 2-m—3 —3 2 3 1 m -q + +1.1 -2 Adman
  4. The circle C has equation x2 + 18x + Y2 — 2y + 29 = 0. a Verify the point P(—7, —6) lies on C. b Find an equation for the tangent to Cat the point P, giving your answer in the form y = mx + b. -a taq=o g•kAt-ø raAü,L (2 marks) (4 marks) 10 V To ffual.ow do acadD&.a Adman
  5. The circle C has centre l, —5) and passes through the IDO point Q(5, 3). a Find an equation for C. The line Il is a tangent to Cat the point Q. b Find an equation for 11. (3 marks) (4 marks) The line 12 is parallel to Il and passes through the midpoint "(11,-5) of PQ. Given that 12 intersects C at A and B c find the coordinates of points A and B (4 marks) a.e.u "ff.L •a'rru, aolPQlb qa.diu 3 q S&ll 3-s ((1+5) 2+(mLll uüL8W L I 4 10 A ad B, we Ø9åo ualze; -A rx-g —Il) 1 = 100 DO Adman
  6. C I unytL CA" diamdDv um pa åY<k rmun, The diagram shows rectangle PORS and circles Cl and C2. Each circle touches the other circle and three sides of the rectangle. The coordinates of the comers of the rectangle are (O, 4), Q (l, R (7, 3) and S (6, 6). a Find the radius b Find the coordinates of the point where the two circles touch. c Show that C, has equation +2E—8r— 12y+21 —0. Q, ynt.ua gee hb•n +21=0 Adman

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