Mathematics 7357: Coordinate Geometry in the (x,y) plane Topical Past Paper Questions

Figure 1 below shows a circle. Figure 1 The centre of the circle is P and the circle intersects the y-axis at Q as shown in Figure 1. The equation of the circle is $$ x^{2}+y^{2}=12y-8x-27 $$ Express the equation of the circle in the form $$ (x-a)^{2}+(y-b)^{2}=k $$ where $a$, $b…

A circle has equation $$ (x-5)^{2}+(y-13)^{2}=16 $$ Find the radius of the circle. Circle your answer. [1 mark] 256

A circle has centre (4, -5) and radius 6 Find the equation of the circle. Tick (✓) one box. [1 mark] $$ \begin{aligned}&(x-4)^{2}+(y+5)^{2}=6&\quad&\boxed{\quad}\\ &(x+4)^{2}+(y-5)^{2}=6&\quad&\boxed{\quad}\\ &(x-4)^{2}+(y+5)^{2}=36&\quad&\boxed{\quad}\\ &(x+4)^{2}+(y-5)^{2}=36&\…