Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
4.6k views
in Mathematics by (54.1k points)
edited by

In the following figure, AD is a straight line. OP ⊥ AD and O is the centre of both the circles. If OA = 34 cm. OB = 20 cm and OP = 16cm; find the length of AB.

1 Answer

0 votes
by (88.2k points)
selected by
 
Best answer

For the inner circle, BC is a chord and OP ⊥ BC  .

We know that the perpendicular to a chord, from the centre of a circle, bisects the chord.

∴ BP = PC

By Pythagoras theorem,

For the outer circle, AD is the chord and OP ⊥ AD .

We know that the perpendicular to a chord, from the centre of a circle, bisects the chord.

∴ AP = PD

By Pythagoras Theorem,

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...