Mathematics · Quadratic Forms

The quadratic form ax2 + by2 + 2hxy is negative definite (negative for all x, y ≠ 0) if and only if:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1a > 0 and ab - h2 < 0
2a < 0 and ab - h2 < 0
3a 0✓
4a > 0 and ab - h2 > 0

Correct answer

a 0

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The quadratic form ax2 + by2 + 2hxy is negative definite (negative for all x, y ≠ 0) if and only if:

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The quadratic form ax2 + by2 + 2hxy is negative definite (negative for all x, y ≠ 0) if and only if:

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