PYQ Vault

Day 413: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Linear Programming. Asked once: 3 May 2023 S1 (same type asked 12 times) See all 12 of this type

    134
    The shaded area in the figure below is the solution set for a certain linear programming problem, then the linear constraints are given by

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked once: 4 May 2023 S2 (same type asked 11 times) See all 11 of this type

    125
    The differential equation obtained by eliminating arbitrary constant from the equation y2=(x+c)3y^2=(x+c)^3 is

    Tap an option to check your answer.

  3. Question 3

    Vectors. Asked once: 3 May 2023 S2 (same type asked 11 times) See all 11 of this type

    110
    If a⃗,b⃗,c⃗\vec{a},\vec{b},\vec{c} are non-zero non-coplanar vectors and mm is non-zero scalar such that [ma⃗+b⃗    mb⃗+c⃗    mc⃗+a⃗]=28[a⃗ b⃗ c⃗][m\vec{a}+\vec{b}\;\; m\vec{b}+\vec{c}\;\; m\vec{c}+\vec{a}]=28[\vec{a}\,\vec{b}\,\vec{c}], then the value of mm is equal to

    Tap an option to check your answer.

  4. Question 4

    Differential Equations. Asked once: 10 May 2024 S2 (same type asked 11 times) See all 11 of this type

    141
    The general solution of the differential equation dydx+3x21+x3y=1x3+1\dfrac{dy}{dx}+\dfrac{3x^2}{1+x^3}y=\dfrac{1}{x^3+1} is

    Tap an option to check your answer.

  5. Question 5

    Linear Programming. Asked once: May 2022 S1 (same type asked 10 times) See all 10 of this type

    112
    Maximum value of Z=5x+2yZ = 5x + 2y, subject to 2x−y≥22x - y \geq 2, x+2y≤8x + 2y \leq 8 and x,y≥0x, y \geq 0 is

    Tap an option to check your answer.