Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Prove that the tangents drawn at the end points of a chord of a circle make equal angles with the chord.
Given: Two tangents drawn at the end points of a chord of a circle.
To do: The tangents make equal angles with the chord.
Solution:
Need to prove that $\angle BAP\ =\angle \ ABP$
$AB$ is the chord.
We know that $OA = OB\ ( radius)$
$\angle OBP=\angle OAP=90^{o}$
Join $OP$ and
$OP=OP$
By SAS congruency
$\vartriangle OBP\cong \vartriangle OAP$
$\therefore \ BP=AP$
Angles opposite to equal sides are equal.
$\therefore \angle BAP=\angle ABP$
Hence proved $\angle BAP=\angle ABP$
Updated on: 10-Oct-2022
134 Views
Advertisements