S5 Quiz 8

The locus of a moving P, where P is equidistant from the fixed points A and B, is

• a circle.

• a straight line.

• two parallel lines.

• two intersecting lines.

The length of line segment AB is 4 cm. A moving point P moves such that P maintains a fixed distance of 6 cm from AB. Find the length of the locus of P.

• 8 cm

• 12 cm

• (8 + 12π) cm

• (8 + 36π) cm

There are two fixed points A and B and a moving point P. Choose all conditions such that the locus of P is a circle.

The moving point P maintains a distance of 6 units from the point (6, 2). Which of the following is a tangent to the locus of P?

• x-axis

• y-axis

• It passes through the center of the circle.

• It is a concentric circle.

The circle G is centered at A. The straight line L does not touch G. B is a point on G that is closest to L, while C is a point on G that is farthest from L. What is the geometric relationship between BC and G.

• BC is a tangent of G.

• BC is a diameter of G.

• BC is a radius of G.

• BC is the circumference of G.