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Question

If P(x,y) is any point on the line joining the points A(a, o) & B(o, b), then show that xa+yb=1

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Solution

Given that P(x, y) be any point on the straight line AB cutsoff intercepts a and b on x - axis at A(a, 0) and y - axis at B(0, b).
Slope of the straight line AB=ba
Then the equation of striaght line by the slope - intercept form
y=(ba)x+b
yb=(1a)x+1
xa+yb=1

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