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Questions › UGC-NET › UGC-NET 2025 › Q67
2 marksMathematics › Constrained optimisation and linear programming › Equality-constrained optimisation and Lagrange multipliersHardabout 2 min

UGC-NET 2025 Question 67: Constrained optimisation and linear programming

If U = 6x^2 + y^2, and 4x - y = 1, what is the (minimum) value of U?

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Constrained optimisation and linear programming has come up 44 times in 7 exams since 2007.

What this question tests

This question is on Equality-constrained optimisation and Lagrange multipliers, part of Constrained optimisation and linear programming in Mathematics.

Optimising a function subject to equality constraints, and what the multiplier means.

TestStop has 14 past-paper questions on this subtopic.

Take this paper as a timed mockMore on Equality-constrained optimisation and Lagrange multipliers

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