PYQ Vault

Day 151: CBSE Class 10 Maths

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

  1. Question 1

    Surface Areas and Volumes. Asked once: 2024 (same type asked 2 times)

    31
    The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of the metal used in making the cylinder is 176 cm3176\,\text{cm}^3, find the outer and inner radii of the cylinder.
  2. Question 2

    Coordinate Geometry. Asked once: 2023 (same type asked 2 times)

    7
    The distance between the points P(−113,5)P\left(-\dfrac{11}{3}, 5\right) and Q(−23,5)Q\left(-\dfrac{2}{3}, 5\right) is :

    Tap an option to check your answer.

  3. Question 3

    Introduction to Trigonometry. Asked once: 2023 (same type asked 2 times)

    22 (a)
    If 4cot⁡245∘−sec⁡260∘+sin⁡260∘+p=344\cot^2 45^\circ - \sec^2 60^\circ + \sin^2 60^\circ + p = \dfrac{3}{4}, then find the value of p.
  4. Question 4

    Introduction to Trigonometry. Asked once: 2024 (same type asked 2 times)

    18
    The value of θ\theta for which 2sin⁡2θ=122\sin^2\theta = \dfrac{1}{2}; 0∘≤θ≤90∘0^\circ \leq \theta \leq 90^\circ is :

    Tap an option to check your answer.

  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2024 (same type asked 2 times)

    21
    Solve the following system of linear equations 7x−2y=57x - 2y = 5 and 8x+7y=158x + 7y = 15 and verify your answer.