Use a ruler and compass only in this question Mark a point P such that OP 7 cm Construct the two tan...

Question

Use a ruler and compass only in this question Mark a point P such that OP 7 cm Construct the two tangents to the circle from P Measure and record the length of one of the tangents

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 Draw a circle with center O and radius 4cm and mark that point as A Step 2 Take a point P such that OP 7cm Step 3 Bisect OB at M Step 4 With center M and diameter OP draw another circle intersecting the given circle at A and B Step 5 Join PA and PB Hence PA and PB are pair of tangents to the circle Step 6 On measuring PA it is equal to 55cm

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