PYQ Vault

Day 128: CBSE Class 10 Maths

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

  1. Question 1

    Coordinate Geometry. Asked once: 2023 (same type asked 3 times)

    24
    Find the points on the xx-axis, each of which is at a distance of 10 units from the point A(11,−8)A(11, -8).

  2. Question 2 (case study, 4 parts)

    Coordinate Geometry. Asked once: 2023 (same type asked 3 times)

    Jagdish has a field which is in the shape of a right angled triangle AQC. He wants to leave a space in the form of a square PQRS inside the field for growing wheat and the remaining for growing vegetables (as shown in the figure). In the field, there is a pole marked as O. Based on the above information, answer the following questions :
    37 (i)
    Taking O as origin, coordinates of P are (−200,0)(-200, 0) and of Q are (200,0)(200, 0). PQRS being a square, what are the coordinates of R and S ?
    37 (ii) (a)
    What is the area of square PQRS ?
    37 (ii) (b)
    What is the length of diagonal PR in square PQRS ?
    37 (iii)
    If S divides CA in the ratio K:1, what is the value of K, where point A is (200,800)(200, 800) ?

  3. Question 3

    Introduction to Trigonometry. Asked once: 2025 (same type asked 3 times)

    9
    (cot⁡θ+tan⁡θ)(\cot\theta + \tan\theta) equals :

    Tap an option to check your answer.

  4. Question 4

    Introduction to Trigonometry. Asked once: 2025 (same type asked 3 times)

    23
    If tan⁡A=3\tan A = \sqrt{3}; where A is an acute angle, then find the value of sin⁡2A1+cos⁡2A\dfrac{\sin^2 A}{1 + \cos^2 A}.

  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2025 (same type asked 3 times)

    28
    Solve the following system of equations graphically : 2x−y−2=02x - y - 2 = 0 −4x+y+4=0-4x + y + 4 = 0 Also, find the absolute difference between the ordinates of the points where given lines cut y – axis.