QJEEM23Ma4c98: JEE Main 2023 Mathematics - Class 12 JEEM23Ma4c98 Solution: The area bounded by the curves y =

Question

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The area bounded by the curves $y = | x - 1 | + | x - 2 |$ and $y = 3$ is equal to :

Accepted Answer

Given equation of curve

y=|x-1|+|x-2|

and

y=3

When,

x-1=0 \Rightarrow x=1

, then

y=1

and when,

x-2=0 \Rightarrow x=2

, then

y=1

Equation of curve passing through point

(1,1)

and

(2,1)

and

(0,3),(3,3)

\therefore

Area bounded by given curves

= \frac{1}{2} (1 + 3) \times 2 (Area of trapezium) = 4

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