CAT 2020 Quant Question [Slot 3] with Solution 14

Question

The area, in sq. units, enclosed by the lines \(x = 2,y = |x - 2| + 4\), the X -axis and the Y -axis is equal to

  1. 8
  2. 12
  3. 10
  4. 6
Option: 3
Solution:

The line \(y = |x - 2| + 4\) intersects the \(y\) -axis at (0,6) and intersects \(x = 2\) at (2,4)

The other vertices are (0,0) and (2,0)

The figure formed is a trapezium of parallel sides 6 and 4 and the distance between the parallel sides is 2.

Required answer \( = \frac{1}{2} \times 2 \times (6 + 4) = 10\)

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CAT 2020 Quant questions with Solutions

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