CLEAR
Toprankers-Info

+91 7676564400

Mobile App

Get it on Google Play
Discussions
Select Date
Tags:

Articles

Discussions
Submit Discussion
Karan

· started a discussion

· 1 Months ago

areas equal krlo.. (Question: 111068.0 )

herons formula se triangle ka area = 1/2 * 25 * h
h will be 12
chord length will be 24
keep learning :)

Question:
The length of the common chord of two circle of radii 15 cm and 20 cm whose centres are 25 cm apart, is (in cm) :
Options:
A) 24
B) 25
C) 15
D) 20
Solution:
Ans: (a)

Given AP = 15 cm, AQ = 20 cm and PQ = 25 cm

Let OQ be y cm then OP = (25-y) cm

In \(\Delta\)APO, AO2 = (15)2 - (25-y)2

In \(\Delta\)AQO, AO2 = (20)2 - y2

From (i) and (ii)

225 - 625 - y2 + 50y = 400 - y2

y = 16

Hence from (i) AO2 = (15)2 - (25 - 16)2

AO2 = 225 - 81

AO2 = 144

AO = 12 cm

Hence, length of common chord AB = 12 x 2 = 24 cm

Vijay Sharma

· commented

· 1 Months ago

thanks bro

Knowledge Expert

· commented

· 1 Months ago

Dear Student,
You can also use the formula 2r1 r2 / d.
= 2*15*20 / 25
= 24

Thanks and Regards
Team TR
-logo
We at aim to provide most comprehensive content & test for practice which is carefully divided into various chapters and topics to help you focus on your weak areas.Our Practice mock test gives you unmatched analytics to help you realize your strong areas,time management and improvement areas.Our Short & Crisp notes on each topic will help you to quickly revise the topic along with the tips & tricks of the exams.
More About
-Info
-Info

Mobile App

Get it on Google Play
About Us Campus Ambassador Careers Contact Us Refund Policy

All Rights Reserved Top Rankers

User Policy
Disclaimer
Terms & Conditions