Draw a circle of radius 3 cm Take two points P and Q on one of its extended diameter each at a dista...

Question

Draw a circle of radius 3 cm Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre Draw tangents to the circle from these two points P and Q

Accepted Answer

Solution A circles tangent is a singlepointed line that intersects the circle The point of tangency is the location where the circle and the tangent cross The radius of the circle with which it crosses is perpendicular to the tangent Steps to construct Step 1 Consider a point O on a line with center O and radius 3cm draw a circle Step 2 Extend its diameters on both sides and cut off OP OQ 7cm Step 3 Mark the midpoints of OP and OQ as M and N respectively Step 4 With Centers M and N and OP and OQ as diameters draw circles which intersect the given circle at A B and C D respectively Step 5 Join PA PB QC QD Hence PA PB and QC QD are the required tangents

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