PYQ Vault

Day 168: CBSE Class 10 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 2 times)

    21 (a)
    Solve the pair of equations x=3x = 3 and y=−4y = -4 graphically.

  2. Question 2

    Quadratic Equations. Asked once: 2025 (same type asked 2 times)

    3
    The value of ‘a’ for which ax2+x+a=0ax^2 + x + a = 0 has equal and positive roots is :

    Tap an option to check your answer.

  3. Question 3

    Polynomials. Asked once: 2025 (same type asked 2 times)

    28
    If α\alpha and β\beta are the zeroes of the polynomial ax2−x+cax^2 - x + c. Obtain a polynomial whose zeroes are α−3\alpha - 3 and β−3\beta - 3.

  4. Question 4

    Circles. Asked once: 2023 (same type asked 5 times)

    25
    In the given figure, PQ is a chord of the circle centered at O. PT is a tangent to the circle at P. If ∠QPT=55∘\angle QPT = 55^\circ, then find ∠PRQ\angle PRQ.

  5. Question 5 (case study, 2 parts)

    Arithmetic Progressions. Asked once: 2022 (same type asked 4 times)

    In Mathematics, relations can be expressed in various ways. The matchstick patterns are based on linear relations. Different strategies can be used to calculate the number of matchsticks used in different figures. One such pattern is shown below. Observe the pattern and answer the following questions using Arithmetic Progression :
    13 (a)
    Write the AP for the number of triangles used in the figures. Also, write the nthn^{\text{th}} term of this AP.
    13 (b)
    Which figure has 61 matchsticks ?