Draw the graph of X + Y = 12 and X - Y = 12 on the graph sheet, also calculate the area of
the triangle formed by these two lines and Y axis..?
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Answer:
• Area of triangle is 15/2 sq. units.
• Coordinates of triangle are A(3,2)
B(0,4) C10,-1).
2x+3y=12
for x=0 y=4
for y=0 X=6
=>2x+3y=12 passes through (0,4)
and(6,0)
similarly x-y=1
for x=0 y=-1
for y=0 x=1
=>x-y=1 passes through (0,-1) and(1,0)
Now , coordinates of required triangle are A(3,2)
B(0,4) C(0,-1).
Now , area of triangle =
1/2[X1(Y2-Y3)+X2(Y3-Y1)+X3(Y1-Y2)]
=1/2[3(4--1))+O(-1-2)+0(2-4)]
=1/2[3(4+1)]
=15/2 Sq. unit
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