Question

The variable line x/a +y/b =1 is such that a + b = 10. The locus of the mid-point of the portion of the line
intercepted between the axe is
​ please answer

Answer 1

Coordinates of mid point = let = h,k

So, h = (a+ 0)/2 and k = (0 + b)/2 [ By mid point formula ]

a = 2h, b = 2k

a + b = 10 = 2h + 2k

h + k = 5

x + y = 5 [ locus : straight line ]