If r (x,y) is a point on the line segment joining t the points p (a,b) and q (b,a) then prove that x+y=a+b.
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X=1(b)+(a)÷2 , Y=1(a)+1(b)÷2
X=a+b÷2 _(1) ,Y=a+b÷2 _(2)
Adding equation(1) and(2)
X+Y=a+b÷2+a+b÷2
X+Y=a+b+a+b÷2
X+Y=2(a+b)÷2
X+Y=a+b Hence proved
X=a+b÷2 _(1) ,Y=a+b÷2 _(2)
Adding equation(1) and(2)
X+Y=a+b÷2+a+b÷2
X+Y=a+b+a+b÷2
X+Y=2(a+b)÷2
X+Y=a+b Hence proved
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