jee-main 2020 Q68

jee-main · India · session2_05sep_shift2 Areas Between Curves Area Involving Piecewise or Composite Functions

The area (in sq. units) of the region $A = \{(x,y) : (x-1)[x] \leq y \leq 2\sqrt{x},\, 0 \leq x \leq 2\}$, where $[t]$ denotes the greatest integer function, is:
(1) $\frac{8}{3}\sqrt{2} - \frac{1}{2}$
(2) $\frac{4}{3}\sqrt{2} + 1$
(3) $\frac{8}{3}\sqrt{2} - 1$
(4) $\frac{4}{3}\sqrt{2} - \frac{1}{2}$

The area (in sq. units) of the region $A = \{(x,y) : (x-1)[x] \leq y \leq 2\sqrt{x},\, 0 \leq x \leq 2\}$, where $[t]$ denotes the greatest integer function, is:\\
(1) $\frac{8}{3}\sqrt{2} - \frac{1}{2}$\\
(2) $\frac{4}{3}\sqrt{2} + 1$\\
(3) $\frac{8}{3}\sqrt{2} - 1$\\
(4) $\frac{4}{3}\sqrt{2} - \frac{1}{2}$

Paper Questions

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