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and passes through the origin.
. Draw the concentric circles.
and 
are given. Write the equation of a circle with diameter 
.
?
, has an area of 
. Draw a sketch and calculate the length of the arc that that formed the sector.
represents a circle?
and the line 
.
, 
and 
.
and 
lies.
passes through points 
and 
. Obtain the coordinates of the centre, radius and equation the circle.
so that the line will be a tangent to the circle 
.
, touches the ordinate axis, and has a radius of 
.
and 
.
, calculate the intersection of the curve with the coordinate axes and draw the curve in the coordinate system.
, 
, 
and 
. For each of the circles, write the centre, radius, and equation of the circles.
is tangent to the circle 
.
and 
, and passes through the point 
.
and has a tangent 
.
and 
.
.
and 
are given. Write the equation of a circle with radius 
.
, the lines 
and 
are the tangents of the circle .
is a circle. Hence, draw the circle.
if it intersects the y-axis on its chord which measures 
.
and 
.
, 
and 
with respect to the circle 
?
and the ends of the diameter are on the coordinate axes.
and the circle 
.
and has a centre at the point 
.
in the coordinate system.
lies on the given circle.
intersects the x axis at C. Write the equation of the circle with centre C passing through the point 
.
and touches the ordinate axis (axis y). The line with the equation 
intersects the circle K at the points A and B.
, which has its centre at the focus 
of the ellipse with equation 
.
passes through the points 
and 
, and its centre lies on the line 
.
on the circle 
is equal to 
.
with base 
should be inscribed on the plane 
should lie in the first quadrant on the line 
. Write the vertices 
and calculate the area of the trapezium 
.
and 
. Calculate the area of the red shaded part between the curves. The result should be accurate.
.
