Draw a line AB 6 cm Construct a circle with AB as diameter Mark a point P at a distance of 5 cm from...

Question

Draw a line AB 6 cm Construct a circle with AB as diameter Mark a point P at a distance of 5 cm from the midpoint of AB Construct two tangents from P to the circle with AB as diameter Measure the length of each tangent

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 line segment AB 6cm Step 2 Draw its perpendicular bisector bisecting it at point O Step 3 With center O and radius OB draw a circle Step 4 Extend AB to point P such that OP 5cm Step 5 Draw its perpendicular bisector intersecting it at point M Step 6 With center M and radius OM draw a circle which intersects the given circle at T and S Step 7 Join OT OS PT and PS Hence PT and PS are the required tangents to the given circle Step 8 On measuring each tangent is 4cm long PT PS 4cm

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