PYQ Vault

Day 211: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 4 parts)

    Areas Related to Circles. Asked once: 2023

    In an annual day function of a school, the organizers wanted to give a cash prize along with a memento to their best students. Each memento is made as shown in the figure and its base ABCD is shown from the front side. The rate of silver plating is ₹ 20 per cm2\text{cm}^2. Based on the above, answer the following questions :
    36 (i)
    What is the area of the quadrant ODCO ?
    36 (ii)
    Find the area of ΔAOB\Delta AOB.
    36 (iii) (a)
    What is the total cost of silver plating the shaded part ABCD ?
    36 (iii) (b)
    What is the length of arc CD ?

  2. Question 2

    Arithmetic Progressions. Asked once: 2023

    35 (A)
    Find the sum of integers between 100 and 200 which are (i) divisible by 9 (ii) not divisible by 9.

  3. Question 3

    Circles. Asked once: 2025

    31
    In the given figure, PC is a tangent to the circle at C. AOB is the diameter which when extended meets the tangent at P. Find ∠CBA\angle CBA and ∠BCO\angle BCO, if ∠PCA=110∘\angle PCA = 110^\circ.

  4. Question 4

    Coordinate Geometry. Asked once: 2025

    28
    If the mid-point of the line segment joining the points A(3,4)A(3, 4) and B(k,6)B(k, 6) is P(x,y)P(x, y) and x+y−10=0x + y - 10 = 0, then find the value of k.

  5. Question 5

    Introduction to Trigonometry. Asked once: 2023

    22 (b)
    If cos⁡A+cos⁡2A=1\cos A + \cos^2 A = 1, then find the value of sin⁡2A+sin⁡4A\sin^2 A + \sin^4 A.