Consider the following statements :
S 1 : The value of 
is π 2
S 2 : Area enclosed by the curve |x – 2| + |y + 1| = 1 is equal to 3 sq. unit
S 3 : If 
f(x) = g(x) for a ≤ x ≤ b, then 
equals to 
.
S 4 : Area of the region R ≡ {(x, y) ; x 2 ≤ y ≤ x} is 
State, in order, whether S 1 , S 2 , S 3 , S 4 are true or false
Text Solution
Verified by ExpertsA
S 1 : Ι = 
= 
+ 
= 
+ 
= π 2
S 2 : |y + 1| = 1 – |x –2|
y = –1 ± (1 – |x –2|)
y = –|x– 2| (y ≥ – 1)
y = – 2 + |x – 2| (y ≤ – 1)
Area = 
(formula from coordinate geometry)
= 
(4) = 2
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