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

Question 6 Constructions Exercise 16.1

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.

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 circle's 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. Related Questions

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