Question 5.

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

A
12
B
8
C
6
D
10

Question Explanation

Text Explanation


The required figure is a trapezium with vertices A(0,0), B(2,0), C(2,4) and D(0,6)

AB = 2 BC = 4 and AD = 6

Area of trapezium = 12\frac12(sum of opposite sides) x height = 12(4+6)×2=10\frac12(4+6) \times 2 = 10

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