Question

If P(x,y) is any point on the line joining the points A(a,0) and B(0,b), then show that x/a + y/b = 1 ​

Answer 1

Answer:

Check out the image for answer

Answer 2

x/a + y/b = 1

Step-by-step explanation:

Given that the point P (x, y) lies on the line joining the points A (a, 0) and B (0, b)

Thus, the points A (a, 0), P (x, y) and B (0, b) are collinear points.

The area of the triangle formed between these three points is zero.

1/2 [ a (y - b) + x (b - 0)  + 0 (0-y) ] = 0

ay - ab + bx = 0

bx + ay = ab  

(bx + ay) / ab = 1  

bx/ab + ay/ab = 1

x/a + y/b = 1

Hence proved.