x 2 +y 2 x 2 +y 2 +Dx+Ey+F = 0 x 2 +y 2 General Form x 2 +y 2 +Dx+Ey+F = 0 (a) How do we identify the equations of circles? The coefficien ts of x 2 and y 2 are both 1 No xy- terms (i) The coefficients of x 2 and y 2 must be the same; (ii) No xy-terms; (iii) The degree is 2. The degree is 2 13. Locus and Equations of 13. Locus and Equations of Circles Circles
13
Embed
X2+y2x2+y2 x 2 +y 2 +Dx+Ey+F = 0x2+y2x2+y2 General Form x 2 +y 2 +Dx+Ey+F = 0 (a) How do we identify the equations of circles? The coefficients of x 2.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
x2+y2x2+y2+Dx+Ey+F = 0x2+y2General Form x2+y2+Dx+Ey+F = 0
(a) How do we identify the equations of circles?
The coefficients of x2
and y2 are both 1No xy-terms
(i) The coefficients of x2 and y2 must be the same;(ii) No xy-terms;(iii) The degree is 2.
The degree is 2
13. Locus and Equations of Circles13. Locus and Equations of Circles
Which of the following are equations of circles?
(1) x2+y2+6x+14y+36 = 0
E.gE.g..
(2) 5x2+5y2+25x - 45y+163 = 0
(4) x2+y2+18xy+68x - 19y - 78 = 0
(3) x2+6y2+18x - 45y - 64 = 0
(5) x3+y2+28x - 46y+85 = 0
13. Locus and Equations of Circles13. Locus and Equations of Circles(a) How do we identify the equations of circles?
(i) The coefficients of x2 and y2 must be the same;(ii) No xy-terms;(iii) The degree is 2.
The coefficients of x2 and y2 are the same
x2+y2(1) x2+y2+6x+14y+36 = 0x2+y2
x2+y2+6x+14y+36 = 0
No xy-terms
The degree is 2
13. Locus and Equations of Circles13. Locus and Equations of Circles(a) How do we identify the equations of circles?
(i) The coefficients of x2 and y2 must be the same;(ii) No xy-terms;(iii) The degree is 2.
5x2+5y2+25x - 45y+163 = 0(2) 5x2+5y2+25x - 45y+163 = 05x2+5y25x2+5y2The coefficients of x2 and y2 are both 5
No xy-terms
The degree is 2
13. Locus and Equations of Circles13. Locus and Equations of Circles(a) How do we identify the equations of circles?
(i) The coefficients of x2 and y2 must be the same;(ii) No xy-terms;(iii) The degree is 2.
(3) x2+6y2+18x - 45y - 64 = 0 x2+6y2
The coefficient of y2 is not the same as that of x2
13. Locus and Equations of Circles13. Locus and Equations of Circles(a) How do we identify the equations of circles?
(i) The coefficients of x2 and y2 must be the same;(ii) No xy-terms;(iii) The degree is 2.