Q117 / 160 · AP EAMCET 2023 (17 May Shift 1) · Mathematics

The area (in sq. units) bounded by $x=4, y=-4$ and $y=x$ is

  • A
    $48$
  • Correct answer
    B
    $32$
  • C
    $24$
  • D
    $16$

Solution

Figure
The required bounded area is $\triangle A B C$. Here $A C=8 \& B C=8$ $\therefore$ Required area $=\frac{1}{2} \times A C \times B C=\frac{1}{2} \times 8 \times 8=32$

Hence, the correct answer is option: 'B'.

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