PYQ Vault

Day 196: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. Asked once: 2026

    33
    In ΔABC\Delta ABC, AD is a median. X is a point on AD such that AX:XD=2:3AX : XD = 2 : 3. BX is extended so that it intersects AC at Y. Prove that BX=4 XYBX = 4\,XY.
  2. Question 2 (case study, 4 parts)

    Areas Related to Circles. Asked once: 2025

    The Olympic symbol comprising five interlocking rings represents the union of the five continents of the world and the meeting of athletes from all over the world at the Olympic games. In order to spread awareness about Olympic games, students of Class-X took part in various activities organised by the school. One such group of students made 5 circular rings in the school lawn with the help of ropes. Each circular ring required 44 m of rope. Also, in the shaded regions as shown in the figure, students made rangoli showcasing various sports and games. It is given that ΔOAB\Delta OAB is an equilateral triangle and all unshaded regions are congruent. Based on above information, answer the following questions :
    36 (i)
    Find the radius of each circular ring.
    36 (ii)
    What is the measure of ∠AOB\angle AOB ?
    36 (iii) (a)
    Find the area of shaded region R1R_1.
    36 (iii) (b)
    Find the length of rope around the unshaded regions.
  3. Question 3

    Arithmetic Progressions. Asked once: 2024

    26 (b)
    In an A.P., the sum of three consecutive terms is 24 and the sum of their squares is 194. Find the numbers.
  4. Question 4

    Circles. Asked once: 2026

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : Radius is the smallest distance of a tangent from the centre of the circle. Reason (R) : Radius is perpendicular to the tangent.

    Tap an option to check your answer.

  5. Question 5

    Coordinate Geometry. Asked once: 2026

    22 (b)
    Using distance formula, prove that the points A(2,3)A(2, 3), B(−7,0)B(-7, 0) and C(−1,2)C(-1, 2) are collinear.