Is Circle J centered on the origin? (1) Point (x, 0) is on Circle J.

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Competition Mode Question

Is Circle J centered on the origin?

(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.

GMATinsight · Answer

Question : Is the circle J centered at Origin?

Statement 1) Point (x, 0) is on Circle J. 
The statement confirms that the circle cuts the X-axis at a point (x, 0) but 
if x = radius then the center of circle will be at the origin
if x ≠ radius of circle then center of teh cir cle will NOT be at origin hence
NOT SUFFICIENT

Statement 2) Point (-x, 0) is on Circle J 
if x = radius then the center of circle will be at the origin
if x ≠ radius of circle then center of the circle will NOT be at origin hence
NOT SUFFICIENT

Combining the two statements

if x = radius then the center of circle will be at the origin
if x ≠ radius of circle then center of the circle will NOT be at origin 
Only other confirmation that we get after combining the two statements is that the circle is symmetric about Y-axis   (As shown in figure attached)  
hence
NOT SUFFICIENT

Answer: Option E

GMATBusters · Answer

Statement 1) clearly NOT Sufficient. Statement 2) clearly NOT Sufficient. Even after combining, we cannot draw a unique circle, hence the answer is E. https://gmatclub.com/forum/download/file.php?id=52930 There can be an infinite number of circles drawn if 2 points on the boundary are given. To uniquely draw a triangle, we need at least 3 points on the circumference of the circle. WhatsApp Image 2020-02-13 at 2.23.41 PM.jpeg

freedom128 · Answer

Is Circle J centered on the origin?
(1) (x, 0) is on Circle J.
(2) (-x, 0) is on Circle J.

(1)+(2)
Having such 2 abovementioned coordinates, it certain that Circle J is symmetry about y-axis. However, Circle J has to be symmetry about x-axis if its center is (0,0). Unfortunately, we cannot deduce from all available information.
NOT SUFFICIENT

FINAL ANSWER IS (E)

Posted from my mobile device

exc4libur · Answer

(1) insufic
the other point could be anywhere

(2) insufic
the other point could be anywhere

(1/2) sufic
both points are on x-axis but, they could be on
center of circle of somewhere else

Ans (E)

Archit3110 · Answer

#1
Point (x, 0) is on Circle J.
here may be or may not be circle be at origin ; insufficient
#2
Point (-x, 0) is on Circle J.
again 
here may be or may not be circle be at origin ; insufficient

from 1 &2
if two points are on the circle it means that the value of radius along x axis is same and x,-x are on the circle hence circle is at origin or it may not fall as wll
 ; inufficient 
IMO E
Is Circle J centered on the origin?

(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.

lacktutor · Answer

Is Circle J centered on the origin?

( Statement1 ): Point (x, 0) is on Circle J.

Let’s say that the center of circle J is on (0,0), radius —5, the point (x,0) =(5,0) —> Circle J centered on (0,0) —Yes

Let’s say that the point (x,0) = (5,0) 
The radius of the circle J = 4
And Center of the circle (1,0 )— Circle J is not centered on the (0,0)—NO
 Insufficient

( Statement2 ): Point (-x, 0) is on Circle J. 
The same as Statement1 
 Insufficient

Taken together 1&2,  
Center of the circle J —(0,3) 
The radius —5 
Point (x,0) and Point (—x,0) must be (4,0) and (—4,0) — NO

We can get  YES  answer on the origin (0,0) as the center of the circle.

Insufficient

The answer is E
 
   Posted from my mobile device

vthatha · Answer

For origin to be the center of the circle, the diameter should be 2X. 
with out this information we can not confirm is the center of the circle is at origin

madgmat2019 · Answer

(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.

either of them is not sufficient
even combing both, there is a possibility that a circle with a centre other than origin can have symmetric points on circle.

OA:E

Is Circle J centered on the origin? (1) Point (x, 0) is on Circle J.

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GMAT Data Sufficiency (DS) Questions

Is Circle J centered on the origin? (1) Point (x, 0) is on Circle J.

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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My Rewards