Draw a line segment AB of length 8 cm Taking A as centre draw a circle of radius 4 cm and taking B a...

Question

Draw a line segment AB of length 8 cm Taking A as centre draw a circle of radius 4 cm and taking B as centre draw another circle of radius 3 cm Construct tangents to each circle from the centre of the other circle

Accepted Answer

Solution Tangent to a circle refers to a line that intersects the circle at only one point It is referred to as the point of tangency where a tangent intersects a circle The circles radius with which it intersects and the tangent are perpendicular Steps to construct Step 1 Draw a line segment AB 8cm Step 2 With center as A and radius 4cm with center as B and radius 3cm draw circles Step 3 Draw the third circle AB as diameter which intersects the given two circles at C and D P and Q respectively Step 4 Join AC AD BP BQ Hence AC and AD BP and BQ are the required tangents

ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.1 in Chapter 16 - Constructions