Question

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

Answer 1

Solution:

Let K is to 1 be the ratio of division

Hence, using Section formula

x= K. 0+1.a/k+1

=> a/k+1 = x

Like Ways you can find the value of Y co-ordinate

y = Kb/2

substitute in the given equ

x/a + y/b

a/k+1/a + kb/b

1/k+1 + Kb/b

b+ Kb/b[k+1]

b[1+k]/b[K+1]

=> 1