Intersection on or Inside a Circle

Point P is the circumcenter, which segment is equal to PB

• DA

• AC

• PC

• PF

D is the circumcenter, find DG

• 15

• 16

• 17

• 19

What shape would be produced by all the points which are 20cm away from a point?

• Circle

• Discorectangle (rectangle with semicircles on the end)

• Straight line

• Arc

Is point A(-3 , 8) inside, outside or on the circle whose equation is given by

x ² + 4x + y ² - 8y = 5

• Inside the circle

• Outside the circle

• On the circle

• a

• b

• c

• d

• chord

• 
• diameter

• 
• radius

• 

Find the points of intersection of the circle with equation

(x - 2) ² + (y - 6) ² = 40

and the line with equation y = 3x

Find the center of the circle whose equation is given by

x ² + 4x + y ² - 8y = 5.

The diagram shows a circle with centre O and a radius of 5 cm. The circle is divided into 8 equal parts.

Which two points are intersections of two loci which are always 5 cm from point O and 5 cm from the line LOQ?

• L and Q

• N and S

• M and R

• K and P

In the diagram, PQR is an equilateral triangle with sides of 4 cm. UM and KL are two circular arcs with Q as the centre. K is the midpoint of UP. X is the locus of a point which moves such that its distance from Q is always 3 cm. Y is the locus of a point which moves such that YQ = YR. The point of intersection of the locus X and locus Y is

• N

• P

• M

• L