Draw a line segment with length 7 cm now, draw arcs at one end with radius 3 cm and another end with radius 4 cm. The two arcs drawn will intersect at a point.
True
For the arcs to intersect at any point not on the line segment, the sum of radii with which both the arcs are drawn must be greater than the length of the line segment.
So, if r1+r2<AB
Arcs won’t intersect at all.
If r1+r2>AB
Arcs will intersect at two different point and also not on the line segment.
If r1+r2=AB
Arcs will intersect at a point on the line segment AB.