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Bunuel

A circle is depicted in the rectangular coordinate system as shown. The value of x is

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12


Attachment:
2017-06-21_1253.png

From the figure, if we move along the y - axis, we find that the radius of the circle is 4

Now moving along the x - axis with radius = 4,
The centre is (2+4,0) = (6,0)
and the coordinate of the point where x - axis cuts circle on other side is (10,0)

So x = 10

Answer D
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Bunuel

A circle is depicted in the rectangular coordinate system as shown. The value of x is

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12

Looking at the y-axis, we see that the diameter of the circle is 4 - (-4) = 8.

Looking at the x-axis, we see that the left edge of the circle’s diameter is at x = 2. The line must extend to the right 8 more units to yield a diameter of 8, and so the value of x will be 10 at the rightmost edge of the circle.

Answer: D
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imo D
radius of the circle=4 dia=8
so 2+8=10
the coordinate will be 10
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Radius is 4. Diameter is 4*2=8.
Thus x coordinate would be 2+8=10.

Option D.

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
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Bunuel

A circle is depicted in the rectangular coordinate system as shown. The value of x is

(A) 4
(B) 6
(C) 8
(D) 10
(E) 12

Attachment:
2017-06-21_1253.png
Source: Nova GMAT
Difficulty Level: 600

The radius is of 4 units. (look at the y-axis to find this out)

We are at (2,0) so the center is (6,0). Move one radius furhter away from it then it will be (10,0)

Hence D.
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Solution



Approach and Working out

    • 2 and x are the ends of the diameter.
      o Diameter of the circle is 8 units as shown in the diagram.
    • Hence, x-2 is also 8
      o Thus, x = 10
Thus, option D is the correct answer.
Correct Answer: Option D
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