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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