BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

touches the length

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Sat Mar 06, 2010 2:23 am
A circle with center O is inscribed in a quadrilateral ABCD such that it touches the length AB at P. If AP = PB = OP, with OC = 5 and OD = 12, what is the length of CD?
(A) 13
(B) less than 13
(C) more than 13
(D) less than 7
(E) more than 17
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 189
Joined: Thu Apr 03, 2008 2:03 pm
Location: USA
Thanked: 21 times

by rohan_vus » Sat Mar 06, 2010 4:09 am
Let Circle touch AD at Q , CD at R and BC at S

From question stem angle PAO = angle POA = angle PBO = angle POB = 45

Angle AOQ = angle Angle BOS = 45 ( as length of tangents from an external point to a circle are equal )

Angle QOS = 180 ( a strg line)

Angle QOD = Angle DOR ( say x)
Angle ROC = Angle SOC ( say y)
Now since angle QOS = 180 , so 2x + 2y = 180 , gives x + y = 90

X + y is equal to angle of DOC = 90 , hence length of CD = 12^2 + 5^2 = 13

A
Last edited by rohan_vus on Sat Mar 06, 2010 4:30 am, edited 1 time in total.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Sat Mar 06, 2010 4:23 am
rohan_vus wrote:Let Circle touch AD at Q , CD at R and BC at S

From question stem angle PAB = angle POA = angle PBO = angle POB = 45

Angle AOQ = angle Angle BOS = 45 ( as length of tangents from an external point to a circle are equal )

Angle QOS = 180 ( a strg line)

Angle QOS = Angle DOR ( say x)
Angle ROC = Angle SOC ( say y)
Now since angle QOS = 180 , so 2x + 2y = 180 , gives x + y = 90

X + y is equal to angle of DOC = 90 , hence length of CD = 12^2 + 5^2 = 13

A
Please see if the bold contents need some attention.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 189
Joined: Thu Apr 03, 2008 2:03 pm
Location: USA
Thanked: 21 times

by rohan_vus » Sat Mar 06, 2010 4:31 am
Edited , but ans still remains the same
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Sat Mar 06, 2010 4:40 am
rohan_vus wrote:Edited , but ans still remains the same
no issue with your answer, mate
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1