Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 563 reviewsTarget Test Prep

How many points with Integer x and Y co-ordinates lie within

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1100
Joined: Sat May 10, 2014 11:34 pmFollowed by: 24 members
Location: New Delhi, India
Thanked: 205 times
by GMATinsight » Sat May 20, 2017 7:20 pm
How many points with Integer x and Y co-ordinates lie within the circle with centre at origin if the circle intersects with parabola y = ax^2 + 4 where a>0 at only one Point

A) 16
B) 17
C) 36
D) 37
E) 41

Source: https://www.GMATinsight.com

Answer: Option D
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Top
Join the discussion
Source: — Problem Solving |
GMAT Instructor
Posts: 2629
Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members
Location: East Bay all the way
Thanked: 625 times
GMAT Score:780

by Matt@VeritasPrep » Fri May 26, 2017 3:04 pm
This is really more of a Calc I HW problem than a GMAT question, in my opinion.
Top
Join the discussion
Site Admin
Posts: 28
Joined: Wed Aug 30, 2017 10:11 pm

by Admin1 » Wed Sep 06, 2017 7:59 pm
The vertex of the given parabola is at the point (0,4) and it opens up. In order to circle intersects the parabola at only one point we should have the circle with center at the origin and with radius equal to 4. This circle is given by the equation: x^2+y^2=16.

We now are interested in finding all the integer solutions of the inequality: x^2+y^2<16.

The solutions in the first quadrant are: (1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1) and (3,2). (TOTAL=8)

The solutions in the second quadrant are: (-1,1), (-1,2), (-1,3), (-2,1), (-2,2), (-2,3), (-3,1) and (-3,2). (TOTAL=8)

The solutions in the third quadrant are: (-1,-1), (-1,-2), (-1,-3), (-2,-1), (-2,-2), (-2,-3), (-3,-1) and (-3,-2). (TOTAL=8)

The solutions in the fourth quadrant are: (1,-1), (1,-2), (1,-3), (2,-1), (2,-2), (2,-3), (3,-1) and (3,-2). (TOTAL=8)

The solutions in the axes X and Y are: (0,0), (1,0), (2,0), (3,0), (-1,0), (-2,0), (-3,0), (0,1), (0,2), (0,3), (0,-1), (0,-2) and (0,-3). (TOTAL=13)

The number of points with integer x and y co-ordinates is 45. This options is not in the given options.
Top
Join the discussion