Correct option (c),(d)
Explanation :
Let x/b + y/b = 1
be the equation of the line which forms a triangle with the coordinate axes of area α sq. unit. Since the line passes through (2, 2), we have
2/a + 2/b = 1 ...(1)
We have 1/2|ab| = α so that
ab = ±2α ....(2)
now, from Eq.(2)
2a + 2b = ab = 2α
Therefore
a + b = α ...(3)
Hence, from Eqs. (2) and (3), a and b are the roots of the equation x2 - αx + 2α = 0. Therefore
2a + 2b = -2α
a + b = -α
Hence a and b are roots of the equation
x2 + αx - 2α = 0