PYQ Vault

Day 75: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked once: 2025 (same type asked 3 times)

    14
    In the adjoining figure, the sum of radii of two concentric circles is 16 cm. The length of chord AB which touches the inner circle at P is 16 cm. The difference of the radii of the given circles is

    Tap an option to check your answer.

  2. Question 2

    Coordinate Geometry. Asked once: 2026 (same type asked 3 times)

    10
    If the distance between the points (4,p)(4, p) and (1,0)(1, 0) is 5, then p is equal to :

    Tap an option to check your answer.

  3. Question 3

    Coordinate Geometry. Asked once: 2026 (same type asked 3 times)

    27
    A point P divides the line segment joining the points A(−3,5)A(-3, 5) and B(7,−4)B(7, -4) in a certain ratio. If the point P lies on the line y=2xy = 2x, then find the ratio AP : PB and coordinates of point P.

  4. Question 4

    Coordinate Geometry. Asked once: 2024 (same type asked 3 times)

    16
    The fourth vertex D of a parallelogram ABCD whose three vertices are A(−2,3)A(-2, 3), B(6,7)B(6, 7) and C(8,3)C(8, 3) is :

    Tap an option to check your answer.

  5. Question 5 (case study, 4 parts)

    Coordinate Geometry. Asked once: 2024 (same type asked 3 times)

    A garden is in the shape of a square. The gardener grew saplings of Ashoka tree on the boundary of the garden at the distance of 1 m from each other. He wants to decorate the garden with rose plants. He chose a triangular region inside the garden to grow rose plants. In the above situation, the gardener took help from the students of class 10. They made a chart for it which looks like the given figure. Based on the above, answer the following questions :
    37 (i)
    If A is taken as origin, what are the coordinates of the vertices of ΔPQR\Delta PQR ?
    37 (ii) (a)
    Find distances PQ and QR.
    37 (ii) (b)
    Find the coordinates of the point which divides the line segment joining points P and R in the ratio 2:12 : 1 internally.
    37 (iii)
    Find out if ΔPQR\Delta PQR is an isosceles triangle.