1). The slope of line k is negative.
2). a is less than b
Answer : C
It is given that the line passes through (0,0) and (a,b)
So it's slope = (b-0)/(a-0) = b/a
Statement (1) ---- Slope of line k is (-ve).
=> (b/a) less than 0 implies a and b are of opposite signs.
From the above we cannot conclude that b is less than 0.
Statement (2) ---- a is less than b ...again this alone cannot help us to infer that whether b is greater than 0 or less than 0 as b can take the value either way round.
Combining Statement (1) and (2) ---- we know that a and b are of opposite signs and that a is less than b.
Therefore, clearly a is negative and hence b is positive.
Hence the answer is C.
