The area enclosed by the points (1, 1), (-1, 1), (-1,-1) and (1, -1) is
pls give me with solution
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Answer:
Distance of point P from origin is less then distance of P from y = 1
h
2
+k
2
<k−1;
h
2
+k
2
<−k−1
⇒x
2
+y
2
<(y−1)
2
;x
2
+y
2
<y
2
+2y+1
⇒x
2
<−2(y−
2
1
);x
2
<2(y+
2
1
)
similarly y
2
<−2(x−
2
1
);y
2
<2(x+
2
1
)
⇒y=
−2
x
2
−1
ory=x=
−2
x
2
−1
⇒x
2
+2x−1=0⇒x=−1±
2
A=8∫
0
2−1
[
2
1−x
2
−
2
+1]dx+4(
2
−1)
2
=
3
16
2
−20
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