Question

If P(x, y) is any point on the line joining the points A(a, 0) and B(0, b), then find the value of x/a +y/b

Answer 1

Answer:

Hey mate,

Step-by-step explanation:

Sorry I don't know..

Follow me.

Answer 2

Answer:

hey mate here is your answer

Step-by-step explanation:

Using area of triangle formula ,

1/2 {x1 (y2 - y3) + x2 ( y3 - y1) + x3 ( y1 - y2)}

1/2 { a ( y - b ) + x ( b - 0 ) + 0 ( 0 - y ) }

1/2 { ay - ab + xb }

Since all the points are in a straight line i.e. collinear they cannot form a triangle .

1/2 { ay - ab + xb } = 0

ay - ab + xb = 0

- ab + bx = - ay

- b ( a - x ) = -ay

a - x = - ay / - b

a - x / a = - y/-b

a/a - x/a = -y/-b

1 - x/a = -y / -b

1 = x/a + y/b

(or)

x/a + y/b = 1

Proved