Question

Draw a line segment AB of length 8 cm. With A as centre, construct a circle with radius 3.4 cm. With B as
centre and radius 2.5 cm, construct another circle. Does the circle with centre B passes through the circle
with centre A?​

Answer 1

Steps of Construction:

Step I: A line segment AB of 8 cm is drawn.

Step II: With A as centre and radius equal to 4 cm, a circle is drawn which cut the line at point O.

Step III: With B as a centre and radius equal to 3 cm, a circle is drawn.

Step IV: With O as a centre and OA as a radius, a circle is drawn which intersect the previous two circles at P, Q and R, S.

Step V: AP, AQ, BR and BS are joined.

Thus, AP, AQ, BR and BS are the required tangents.