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13 Feb 2020, 01:36
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
57% (00:55) correct
43%
(00:57)
wrong
based on 90
sessions
History
Date
Time
Result
Not Attempted Yet
Is Circle J centered on the origin?
(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.
13 Feb 2020, 01:47
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Quote:
Is Circle J centered on the origin?
(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.
(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.
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
Attachments
Screenshot 2020-02-13 at 2.19.08 PM.png [ 264.24 KiB | Viewed 2289 times ]
13 Feb 2020, 01:59
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Quote:
Is Circle J centered on the origin?
(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.
(1) Point (x, 0) is on Circle J.
(2) Point (-x, 0) is on Circle J.
Statement 1) clearly NOT Sufficient.
Statement 2) clearly NOT Sufficient.
Even after combining, we cannot draw a unique circle, hence the answer is E.
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.
Attachment:
WhatsApp Image 2020-02-13 at 2.23.41 PM.jpeg [ 58.44 KiB | Viewed 2272 times ]
