Q.
Area bounded by the curves $y = \left\lbrack \frac{x^{2}}{64} + 2 \right\rbrack,\ y = x - 1$ and $x = 0$ above $x$-axis is ($\lbrack.\rbrack$ denotes the greatest integer function)
A) 2 sq unit
B) 3 sq unit
C) 4 sq unit
D) None of these
Explanation
(c)
$- 8 < x < 8\ \Rightarrow \ y = 2$
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$\therefore$ Required area $= \frac{1}{2}(1 + 3) \times 2$
$= 4\ sq\ unit$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.