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A
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Difficulty:
45%
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Question Stats:
62% (01:30) correct
38%
(01:33)
wrong
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What is the length of the chord AB
(1) The center of the circle is at the Origin and the chord AB is parallel to y-axis with one end of it at (8,6)
(2) The equation of the circle is x^2 + y^2 = 100
(1) The center of the circle is at the Origin and the chord AB is parallel to y-axis with one end of it at (8,6)
(2) The equation of the circle is x^2 + y^2 = 100
30 Jan 2012, 00:32
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Answer has to be A. It is parallel to y axis and we already know its length on top of the x-axis, i.e. 6. Now since the chord will mirror on the other side of x-axis, i.e when y is negative, we can double 6 to get the length of the chord, which will be 12 . We do not need the size of the circle and the size of the circle itself will not be sufficient. Hence the answer has to be A.
boomtangboy
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30 Jan 2012, 00:48
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A is sufficient
Statement A : It is given that the center of the circle is 0 (0,0) & 1 end point of the Chord AB A (8,6). Further AB is parallel to the Y - Axis. From the above we can form the triangle AOB with height of 6 & base of 8. Using Pytha theorem we can find the Hypoth OA which is the radius. From this it is possible to find the coordinates of B using Pythag theorem
Thus Sufficient
Statement B : From the eqn of circle we can only compute the radius of circle which is 10 & thus is insufficient
Hope this helps
Statement A : It is given that the center of the circle is 0 (0,0) & 1 end point of the Chord AB A (8,6). Further AB is parallel to the Y - Axis. From the above we can form the triangle AOB with height of 6 & base of 8. Using Pytha theorem we can find the Hypoth OA which is the radius. From this it is possible to find the coordinates of B using Pythag theorem
Thus Sufficient
Statement B : From the eqn of circle we can only compute the radius of circle which is 10 & thus is insufficient
Hope this helps
