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The Area Bounded by The Y-axis, Y = Cos X And Y = Sin X When 0 <= X <= `Pi/2` - Mathematics

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Question

The area bounded by the y-axis, y = cos x and y = sin x when  0 <= x <= `pi/2`

(A) 2 ( 2 −1)

(B) `sqrt2 -1`

(C) `sqrt2 + 1`

D. `sqrt2`

Solution

The given equations are

y = cos x … (1)

And, y = sin x … (2)

Required area = Area (ABLA) + area (OBLO)

Thus, the correct answer is B.

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Chapter 8: Application of Integrals - Exercise 8.3 [Page 376]

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NCERT Mathematics [English] Class 12
Chapter 8 Application of Integrals
Exercise 8.3 | Q 19 | Page 376

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