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Form 3 Equations of a Circle Topical Questions and Video Answers
The equation of a circle centre (a,b) is #x^2+y^2-6x-10y+30=0#. Find the values of a and b.
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1.
Obtain the centre and radius of the circle represented by the equation #X^2+y^2-10y+16=0#
2.
The equation of a circle is given by #x^2+4x+y^2-5=0#. Find the radius and the centre of the circle.
3.
The points with coordinates (5,5) and (-3,-1) are the ends of a diameter of a circle centre A. Determine: (a) The coordinates of A (b) The equation of the circle, expressing it in form #x^2+y^2+ax+by+c=0# where a, b and c are constant.
4.
Find the radius and the coordinates of the centre of the circle whose equation is #2x^2+2y^2-3x+2y+1/2 =0#
5.
The equation of a circle is given by #4x^2+4y^2-8x+20y - 7=0#. Determine the coordinates of the centre of the circle.
6.
A circle whose equation is #(x-1)^2 +(y-k)^2 =10# passes through the point (2,5). Find the coordinates of the two possible centres of the circle.
7.
The circle shown on the next page cuts the x-axis at (-2,0) and (4,0). It also cuts y-axis (0,2) and (0,-4). Determine the: (a) (i) coordinates of the centre (ii)radius of the circle (b) Equation of the circle in the form x2+y2+ax+by=c where a, b, and c are constants.
8.
The equation of a circle centre (a,b) is #x^2+y^2-6x-10y+30=0#. Find the values of a and b.
9.
The equation of a circle is given by #x^2+4x+y^2-2y-4=0#. Determine the centre and radius of the circle.
10.
The diameter of a circle, centre O has its end points M (-1, 6) and N (5,-2). Find the equation of the circle in form #x^2+y^2+ax+by=c# where a, b, and c are constants.
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