Circle Transformations

In the figure, P'is the inverse of P. If PP'= 9cm and OP'= 3cm, find the diameter of the inversion circle.

• 36 cm

• 6cm

• 12cm

• 24 cm

A point P is at a distance of 20 units from the centre of a circle and its radius is 10 units. Find the distance of the inversion point from the centre of the circle.

• 25 units

• 10 units

• 5 units

• (10,4)

• (8,4)

• (4,8)

• (6,8)

• (3,4)

• (6,4)

• (14,15)

• (36,48)

• (-5,3)

• (-3,5)

• (3,5)

where is the inverse of P if P lies on the circumference of circle of inversion ?

• Infinity

• center

• on the same point of the circumference

The inverse of a line through the centre of inversion circle is

• inverted to itself

• inverted inside the circle

• inverted outside the circle

• inverted at the infinity

What is the inverse of a line which is outside of circle of inversion?

• A line through the center of the circle of inversion

• A circle through the center of circle of inversion

• a line in the infinity

If the inverse of a point P(3,0) with respect to a circle having center at origin is P'(12,0),find the radius of the circle.

• 36

• 12

• 6