the p(x,y) is any point on line joining the points a(9,0) b(0,6). show that x/a +y/b=1
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given points:
P(x,y)
A(9,0) = A(a,0)
B(0,6) = B(0,b)
slope of BP = slope of PA
=> (y-6)/(x-0) = (y-0)/(x-9)
=> (x-9)(y-6) = xy
=> xy -9y - 6x + 54 =xy
=> 6x + 9y = 54
=> (6x + 9y)/54 = 1
=> x/9 + y/6 =1
or,
x/a + y/b = 1
P(x,y)
A(9,0) = A(a,0)
B(0,6) = B(0,b)
slope of BP = slope of PA
=> (y-6)/(x-0) = (y-0)/(x-9)
=> (x-9)(y-6) = xy
=> xy -9y - 6x + 54 =xy
=> 6x + 9y = 54
=> (6x + 9y)/54 = 1
=> x/9 + y/6 =1
or,
x/a + y/b = 1
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