Question

If y=a+b/x where a,b are real number, y=1 when x=-1 and y=5 when x=-5 then a+b=. (A) -1. (B)0. (C)11. (D)10

Answer 1

Answer:

Step-by-step explanation: given y = a + b/x

Now, y = 1, when x = -1, this implies that

1 = a  + b/(-1)

a - b = 1 .... (i)

And y = 5, when x = -5, this implies that

5 = a + b/(-5)

5a - b = 25 .... (ii)

(ii) - (i) gives

4a = 24

a = 6

Put the value of a in (i) we get

6 - b = 1

b = 5

So, a + b = 6 + 5 = 11.

Therefore, option (C) is correct.