Algebra
Sets and Relations
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Quadratic Equations
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Sequences and Series
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Permutations and Combinations
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Three Dimensional Geometry
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Matrices and Determinants
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Mathematical Reasoning
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Linear Programming
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Trigonometry
Trigonometric Ratios & Identities
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Trigonometric Equations
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Inverse Trigonometric Functions
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Properties of Triangles
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Calculus
Limits, Continuity and Differentiability
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Application of Derivatives
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Indefinite Integration
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Definite Integration
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Area Under The Curves
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Differential Equations
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Coordinate Geometry
Straight Lines and Pair of Straight Lines
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1
MHT CET 2023 14th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The shaded region in the following figure represents the solution set for a certain linear programming problem. Then linear constraints for this region are given by

MHT CET 2023 14th May Evening Shift Mathematics - Linear Programming Question 32 English

A
$$2 x+3 y \geq 6,-x+2 y \geq 2,3 x+6 y \leq 18, x-3 y \geq 3, x \geq 0, y \geq 0$$
B
$$2 x+3 y \geq 6,-x+2 y \leq 2, x-3 y \leq 3 x +2 y \geq 18, x \geq 0, y \geq 0$$
C
$$2 x+3 y \leq 6,-x+2 y \geq 2,3 x+6 y \leq 18 x-3 y \leq 3, x \geq 0, y \geq 0$$
D
$$2 x+3 y \geq 6,3 x+6 y \leq 18, x-3 y \leq 3 -x+2 y \leq 2, x \geq 0, y \geq 0$$
2
MHT CET 2023 14th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The solution set of the inequalities $$4 x+3 y \leq 60, y \geq 2 x, x \geq 3, x, y \geq 0$$ is represented by region

MHT CET 2023 14th May Morning Shift Mathematics - Linear Programming Question 34 English

A
$$\mathrm{S}_2$$ region
B
$$\mathrm{S}_1$$ region
C
$$\mathrm{S}_3$$ region
D
$$\mathrm{S}_4$$ region
3
MHT CET 2023 13th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The shaded area in the given figure is a solution set for some system of inequations. The maximum value of the function $$z=10 x+25 y$$ subject to the linear constraints given by the system is

MHT CET 2023 13th May Evening Shift Mathematics - Linear Programming Question 33 English

A
80
B
100
C
95
D
105
4
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If feasible region is as shown in the figure, then related inequalities are

MHT CET 2023 13th May Morning Shift Mathematics - Linear Programming Question 35 English
A
$$3 x+4 y \geq 12,4 x+7 y \leq 28, y \leq 1, x \geq 0, y \geq 0$$
B
$$3 x+4 y \geq 12,4 x+7 y \leq 28, y \geq 1, x \geq 0, y \geq 0$$
C
$$3 x+4 y \leq 12,4 x+7 y \leq 28, y \leq 1, x \geq 0, y \geq 0$$
D
$$3 x+4 y \leq 12,4 x+7 y \geq 28, y \geq 1, x \geq 0, y \geq 0$$
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