If nonzero numbers a, b, c are in H.P., then the straight line x/a + y/b + 1/c =0 always passes through a fixed point. That point is

(a) (–1, –2) 

(b) (–1, 2)

(c) (1, -1/2) 

(d) (1, –2).

4 views

1 Answers

(d) : Let us take the two set of values of a = 1, b = 1/2, c = 1/3 and a = 1/2, b = 1/3, c = 1/4
Putting these value in the given equation we get

x + 2y + 3 = 0 and 2x + 3y + 4 = 0 } *
solving the equations of * we have x = 1, y = –2 

(1, –2) is required point on the line.

4 views