Question

The area of the region bounded by the curves y = | x – 2 | and y = 4 – | x | is -

• A. 2
• B. 4
• C. 5
• D. 6

Answer 1

Answer: (D)

6

Answer 2

y = | x – 2 | = and

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y = 4 – | x | = $\left\{ \begin{array} { l l } 4 - x & \text { if } x \geq 0 \\ 4 + x & \text { if } x < 0 \end{array} \right.$ and

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A (2, 0), B (–1, 3), C(3, 1) D(0, 4)

ABCD is rectangle, AB = $\sqrt { 18 }$, AC = $\sqrt { 2 }$ Area of ABCD =

$\sqrt { 18 }$ . $\sqrt { 2 }$ = $\sqrt { 36 }$ = 6