In the xy-coordinate plane there are 4 points A(2,0), B(4,0), C(4,2), and D(2,2). If the line which passes through an origin bisects the area of the rectangle ABCD, what is the slope of the line?

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\frac{1}{2}

\frac{1}{3}

Correct

\frac{1}{4}

\frac{1}{5}

\frac{1}{6}

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Official Explanation

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A line can divide the area of rectangle into two equal parts only if it passes through the centre of quadrilateral.

Hence one of the points that the line will pass through will be midpoint of the diagonal:…

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What this question tests

What it tests

Your ability to evaluate and compose functions, including unusual defined operations.

Common trap

Applying function operations in the wrong order or ignoring domain restrictions.