Area bounded by curves x =y -1 and y = x + 1 is- - Vidyadip

MCQ

Area bounded by curves $x =\sqrt {y -1}$ and $y = x + 1$ is-

A
$\frac{1}{3}$
B
$\frac{8}{3}$
✓
$\frac{1}{6}$
D
$\frac{2}{3}$

✓

Answer

Correct option: C.

$\frac{1}{6}$

c
$\mathrm{x}=\sqrt{\mathrm{y}-1}$

$y=x+1$

$\int\limits_0^1 {\left( {x + 1 - {x^2} - 1} \right)dx} $

$=\frac{1}{6}$

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