jee-advanced 2013 Q45

jee-advanced · India · paper1 Areas Between Curves Area Involving Piecewise or Composite Functions

The area enclosed by the curves $y = \sin x + \cos x$ and $y = | \cos x - \sin x |$ over the interval $\left[ 0 , \frac { \pi } { 2 } \right]$ is
(A) $4 ( \sqrt { 2 } - 1 )$
(B) $2 \sqrt { 2 } ( \sqrt { 2 } - 1 )$
(C) $2 ( \sqrt { 2 } + 1 )$
(D) $2 \sqrt { 2 } ( \sqrt { 2 } + 1 )$

The area enclosed by the curves $y = \sin x + \cos x$ and $y = | \cos x - \sin x |$ over the interval $\left[ 0 , \frac { \pi } { 2 } \right]$ is\\
(A) $4 ( \sqrt { 2 } - 1 )$\\
(B) $2 \sqrt { 2 } ( \sqrt { 2 } - 1 )$\\
(C) $2 ( \sqrt { 2 } + 1 )$\\
(D) $2 \sqrt { 2 } ( \sqrt { 2 } + 1 )$

Paper Questions

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