UPSEE Solved Model Paper 3

Given curve, y = x2−x
When x−y = 0 or y = x from Eq. (i)
x2−2x = 0 its discriminant D ≠ 0
When x+y = 0 or y = −x from Eq. (i)
x2 = 0 its discrimanat D = 0
Hence, x+y = 0 is a tangent.