CHAPTER 9. GEOMETRY 9.4
(f) x^2 − 3 x + 9 = y^2 + 5y + 25 = 17- Find the x and y intercepts of the following graphs and draw a sketch to illustrate your answer:
(a) (x + 7)^2 + (y− 2)^2 = 8(b) x^2 + (y− 6)^2 = 100(c) (x + 4)^2 +y^2 = 16(d) (x− 5)^2 + (y + 1)^2 = 25- Find the centre and radius of the following circles:
(a) x^2 + 6x +y^2 − 12 y =− 20(b) x^2 + 4x +y^2 − 8 y = 0(c) x^2 +y^2 + 8y = 7(d) x^2 − 6 x +y^2 = 16(e) x^2 − 5 x +y^2 + 3y =−^34(f) x^2 − 6 nx +y^2 + 10ny = 9n^2- Find the equation ofthe tangent to each circle:
(a) x^2 +y^2 = 17 at the point (1; 4)(b) x^2 +y^2 = 25 at the point (3; 4)(c) (x + 1)^2 + (y− 2)^2 = 25 at the point (3; 5)(d) (x− 2)^2 + (y− 1)^2 = 13 at the point (5; 3)More practice video solutions or help at http://www.everythingmaths.co.za(1.) 01gt (2.) 01gu (3.) 01gv (4.) 01gw (5.) 01gx (6.) 01gy
(7.) 01gz9.4 Transformations
Rotation of a Point About an Angleθ EMCCC
First we will find a formula for the co-ordinatesof P after a rotation of θ.
We need to know something about polar co-ordinates and compound angles before we start.