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

Question 2 Constructions Exercise 16.1

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.

Answer:

Solution:

A circle's tangent is a single-pointed 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 5.5cm.

Related Questions

Lido

Courses

Teachers

Book a Demo with us

Syllabus

Maths
CBSE
Maths
ICSE
Science
CBSE

Science
ICSE
English
CBSE
English
ICSE
Coding

Quick Links

Terms & Policies

Selina Question Bank

Maths
Physics
Biology

Allied Question Bank

Chemistry
Connect with us on social media!
2022 © Quality Tutorials Pvt Ltd All rights reserved