MHT CET 2021 20th September Morning Shift | MHT CET Year Wise Previous Years Questions

MHT CET 2021 20th September Morning Shift

MCQ (Single Correct Answer)

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A wire of length 20 units is divided into two parts such that the product of one part and cube of the other part is maximum, then product of these parts is

MHT CET 2021 20th September Morning Shift

MCQ (Single Correct Answer)

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The shaded part of the given figure indicates the feasible region. Then the constraints are

MHT CET 2021 20th September Morning Shift Mathematics - Linear Programming Question 63 English

$$x, y \geq 0 ; x-y \geq 0 ; x \leq 5 ; y \leq 3$$

$$x, y \geq 0 ; x-y \geq 0 ; x \leq 5 ; y \geq 3$$

$$x, y \geq 0 ; x+y \geq 0 ; x \geq 5 ; y \leq 3$$

$$x, y \geq 0 ; x-y \geq 0 ; x \geq 5 ; y \leq 3$$

MHT CET 2021 20th September Morning Shift

MCQ (Single Correct Answer)

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If the volume of a tetrahedron whose conterminous edges are $$\vec{\mathrm{a}}+\vec{\mathrm{b}}, \vec{\mathrm{b}}+\vec{\mathrm{c}}, \vec{\mathrm{c}}+\vec{\mathrm{a}}$$ is 24 cubic units, then the volume of parallelopiped whose coterminous edges are $$\vec{\mathrm{a}}, \vec{\mathrm{b}}, \vec{\mathrm{c}}$$ is

48 cubic units

144 cubic units

72 cubic units

10 cubic units

MHT CET 2021 20th September Morning Shift

MCQ (Single Correct Answer)

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The joint equation of the pair of lines through the origin and making an equilateral triangle with the line $$x=3$$ is

$$3 x^2-y^2=0$$

$$\sqrt{3} x^2-2 x y+y^2=0$$

$$x^2-3 y^2=0$$

$$x^2+2 x y-\sqrt{3} y^2=0$$