PYQ Vault

Day 274: CBSE Class 12 Maths

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

  1. Question 1

    Linear Programming. Asked once: 2023 (same type asked 4 times)

    28
    Solve the following linear programming problem graphically : Maximise z=5x+3yz = 5x + 3y subject to the constraints 3x+5y≤153x + 5y \le 15, 5x+2y≤105x + 2y \le 10, x,y≥0x, y \ge 0.

  2. Question 2

    Linear Programming. Asked once: 2023 (same type asked 4 times)

    28
    Solve the following linear programming problem graphically : Maximize z = 3x + 9y subject to the constraints x+y≥10x + y \geq 10, x+3y≤60x + 3y \leq 60, x≤yx \leq y, x≥0x \geq 0, y≥0y \geq 0.

  3. Question 3

    Linear Programming. Asked once: 2023 (same type asked 4 times)

    31
    Solve the following linear programming problem graphically : Maximise z=−3x−5yz = -3x - 5y subject to the constraints −2x+y≤4-2x + y \le 4, x+y≥3x + y \ge 3, x−2y≤2x - 2y \le 2, x≥0, y≥0x \ge 0,\ y \ge 0.

  4. Question 4

    Application of Derivatives. Asked once: 2025

    28
    The area of an expanding rectangle is increasing at the rate of 48 cm2^2/s. The length of the rectangle is always square of its breadth. At what rate the length of rectangle increasing at an instant, when breadth = 4.5 cm ?

  5. Question 5

    Determinants. Asked once: 2025

    11
    A system of linear equations is represented as AX = B, where A is coefficient matrix, X is variable matrix and B is the constant matrix. Then the system of equations is

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