Match the following conditions for the occurrence of an extreme value and choose the correct answer from the options given below :
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List – 1 |
List – 2 |
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i. |
fx = 0, fy = 0, fxx < 0, fyy < 0, fxx fyy – (fxy)2 > 0 |
1. |
Maximum |
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ii. |
fx = 0, fy = 0, fxx > 0, fyy > 0, fxx fyy – (fxy)2 > 0 |
2. |
Minimum |
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iii. |
fx = 0, fy = 0, fxx fyy – (fxy)2 < 0 |
3. |
Saddle point |
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iv. |
fx = 0, fy = 0, fxx fyy – (fxy)2 = 0 |
4. |
No information |
1
i – 1; ii – 2; iii – 3; iv – 4
2
i – 4; ii – 3; iii – 2; iv – 1
3
i – 3; ii – 4; iii – 1; iv – 2
4
i – 2; ii – 3; iii – 4; iv – 1