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26 Nov 2014, 11:48
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D
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Difficulty:
45%
(medium)
Question Stats:
70% (02:15) correct
30%
(02:19)
wrong
based on 442
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The center of circle Q is on the y-axis, and the circle passes through points (0, 7) and (0, –1). Circle Q intersects the positive x-axis at (p, 0). What is the value of p?
(A) \(\frac{7}{3}\)
(B) \(4\)
(C) \(5\)
(D) \(\sqrt{7}\)
(E) \(\sqrt{11}\)
For a set of Coordinate Geometry practice questions with solutions, visit this page:
https://magoosh.com/gmat/2013/gmat-quan ... questions/
Mike
(A) \(\frac{7}{3}\)
(B) \(4\)
(C) \(5\)
(D) \(\sqrt{7}\)
(E) \(\sqrt{11}\)
For a set of Coordinate Geometry practice questions with solutions, visit this page:
https://magoosh.com/gmat/2013/gmat-quan ... questions/
Mike
10 Jun 2015, 18:30
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The center of circle Q is on the y-axis, and the circle passes through points (0, 7) and (0, –1). This tells us the circle's center, which is (0,3) and the radius, which is 4.
Circle Q intersects the positive x-axis at (p, 0). we can just use the equation for distance between two points. In this case, (0,3) and (p,0).
4=\(sqrt((0-3)^2 + (p-0)^2)\)
p=\(sqrt(7)\)
Answer:
(D) \(sqrt(7)\)
Circle Q intersects the positive x-axis at (p, 0). we can just use the equation for distance between two points. In this case, (0,3) and (p,0).
4=\(sqrt((0-3)^2 + (p-0)^2)\)
p=\(sqrt(7)\)
Answer:
(D) \(sqrt(7)\)
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02 Dec 2015, 19:15
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agree with D. if center of the circle is on y axis, then it must be the case that r=4 while the center is at 0,3. Now, we can draw a line from 0,3 to the point of intersection of the circle with x axis. the line will have a length of 4, since it is the radius of the circle.
we know 2 sides of a right triangle...we can find the 3rd side: 4^2 = 3^2 +x^2, where x is the length of the leg.
16=9+x^2 -> x=sqrt 7.
since the y-coordinate of the line is 0, then the x coordinate of the intersection of the circle must be sqrt 7.
we know 2 sides of a right triangle...we can find the 3rd side: 4^2 = 3^2 +x^2, where x is the length of the leg.
16=9+x^2 -> x=sqrt 7.
since the y-coordinate of the line is 0, then the x coordinate of the intersection of the circle must be sqrt 7.
