Find relation between X and Y if point (X,Y),(a,0),and(0,b) are collinear
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bx + ay = ab is the relation between x & y if points (x,y),(a,0),and(0,b) are collinear
Step-by-step explanation:
(x,y),(a,0),and(0,b) are collinear
=> Slope are equal
=> Slope = (b - 0)/(0 - a) = - b/a
Slope = (y - b)/(x - 0) = (y - b)/x
Slope = (y - 0)/(x - a) = y/(x - a)
(y - b)/x = -b/a
=> ay - ab = -bx
=> bx + ay = ab
or
y/(x - a) = -b/a
=> ay = -bx + ab
=> bx + ay = ab
relation between x and y bx + ay = ab
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