Questions
The area enclosed by is
a
3 sq. units
b
4 sq. units
c
12 sq. units
d
24 sq. units
detailed solution
Correct option is C
The given inequality is equivalent to the following system of inequalities.2x+3y≤6, when x≥0,y≥02x−3y≤6, when x≥0,y≤0−2x+3y≤6, when x≤0,y≥0−2x−3y≤6, when x≤0,y≤0which represents a rhombus with sides2x+3y=6 and 2x+3y=−6Length of the diagonals is 6 and 4 units along x-axis andy-axis.∴ The required area =12×6×4=12 sq. units.Talk to our academic expert!
Similar Questions
Consider a point where m and n are positive integers.B is the reflection of A in the line is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection of D in the y-axis. The area of the pentagon is
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