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  • IMAT 2016 Q56 Physics and Mathematics

  • Nicolas Sanchez

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    June 22, 2021 at 7:55 am
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    The straight-­line graph given by the equation

    x/4 + y/6 = 1

    intersects the x­-axis at A (a,0) and the y-­axis at B (0,b).
    A circle passes through A and B and has a diameter AB.
    What are the coordinates of the centre of the circle?

    A. (2, 3)

    B. (3, 2)

    C. (6, 4)

    D. (4, 6)

    E. (0, 0)

  • Ben Naz

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    August 5, 2021 at 2:35 pm
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    If x = 0, then y = 6. If y = 0, then x = 4. Thus the points of the line intersecting the axes
    are (0, 6) and (4, 0). The center of the circle must lie between these two points, if A and
    B lie on the edge of the circle and the diameter of the circle is AB. Thus the center of
    the circle is (2, 3) and the answer is A.

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