PYQ Vault

Day 29: CBSE Class 10 Maths

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

  1. Question 1

    Arithmetic Progressions. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    17
    If the sum of first n terms of an A.P. is 3n2+4n3n^2 + 4n and its common difference is 6, then its first term is :

    Tap an option to check your answer.

  2. Question 2

    Arithmetic Progressions. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    27 (a)
    If the sum of the first 14 terms of an A.P. is 1050 and the first term is 10, then find the 20th20^{\text{th}} term and the nthn^{\text{th}} term.
  3. Question 3

    Circles. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    2
    In the given figure, PT is tangent to a circle with centre O. Chord PQ subtends an angle of 65∘65^\circ at the centre. The measure of ∠QPT\angle QPT is :

    Tap an option to check your answer.

  4. Question 4

    Circles. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    10
    In the given figure, if PT is a tangent to a circle with centre O and ∠TPO=35∘\angle TPO = 35^\circ, then the measure of ∠x\angle x is :

    Tap an option to check your answer.

  5. Question 5

    Coordinate Geometry. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    25 (a)
    In what ratio is the line segment joining the points (3,−5)(3, -5) and (−1,6)(-1, 6) divided by the line y=xy = x ?