The quadratic form ax2 + by2 + 2hxy is negative for all values of x and y (other than x = y = 0) if and only if:

1
a > 0 and |h| < |b|
2
a < 0 and |h| < |b|
3
a < 0 and |h| > |b|
4
a < 0 and |h| ≠ |b|

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