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Question

Question: Area bounded by the lines y = 2 + x, y = 2 – x and x = 2 is...

Area bounded by the lines y = 2 + x, y = 2 – x and x = 2 is

A

3

B

4

C

8

D

16

Answer

4

Explanation

Solution

Given lines are y = x + 2, y = –x + 2, x = 2

Hence required area = Area of ΔCAB=12(2)(4)=4\Delta C A B = \frac { 1 } { 2 } ( 2 ) ( 4 ) = 4sq. units.