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Question

Question: Area bounded by lines \(y = 2 + x\) \(y = 2 - x\) and \(x = 2\) is...

Area bounded by lines y=2+xy = 2 + x y=2xy = 2 - x and x=2x = 2 is

A

3

B

4

C

8

D

16

Answer

4

Explanation

Solution

Obviously, triangle ACB is right angled at C.

∴ Required area =12×AC×BC= \frac { 1 } { 2 } \times A C \times B C

=12×22×22=4= \frac { 1 } { 2 } \times 2 \sqrt { 2 } \times 2 \sqrt { 2 } = 4 sq. unit.