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Question

Question: The area bounded by the curve \| x \| + y = 1 and axis of x is given by -...

The area bounded by the curve | x | + y = 1 and axis of x is given by -

A

2

B

1

C

4

D

None of these

Answer

1

Explanation

Solution

y + | x | = 1 ̃ y + x = 1 if x > 0

y – x = 1 if x < 0

Area = 12\frac { 1 } { 2 } × 2 × 1 = 1