Mathematics
A and B are fixed points 5 cm apart. The locus of the point P is the set of those points for which AP = 4 cm and the locus of Q is the set of those points for which BQ = 3.5 cm.
Construct the loci of P and Q and the points of intersection of the two loci. How many such points are there?
Locus
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Answer
Steps of construction :
Draw a line segment AB = 5 cm.
With A as the center and a radius of 4 cm, draw the circle.
With B as the center and a radius of 3.5 cm, draw the circle.
Mark the two points where the circle intersect as P and Q.
The loci of point P is a circle with center as point A and loci of point Q is a circle with centre as point B.
The two circles intersect at two distinct points.
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