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Byju's Answer
Standard XII
Mathematics
Perpendicular Distance of a Point from a Line
Area enclosed...
Question
Area enclosed between the curve
y
=
1
−
x
2
A
4
3
sq. units
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B
2
√
2
3
sq. units
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C
3
√
2
3
sq units
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D
None of these
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Solution
The correct option is
A
4
3
sq. units
The points at which the curve intersects x - axis is hhen
y
=
0
⟹
1
−
x
2
=
0
x
2
=
1
x
=
√
1
x
=
±
1
The curve is symmetrical about y axis so
The area is given as
2
∫
1
0
1
−
x
2
d
x
2
x
−
2
x
3
3
∣
∣
∣
1
0
2
−
2
3
=
4
3
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