PYQ Vault

Day 217: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. Asked once: 2025

    25 (a)
    In the given figure, PSSQ=PTTR\dfrac{PS}{SQ} = \dfrac{PT}{TR} and ∠PST=∠PRQ\angle PST = \angle PRQ. Prove that ΔPQR\Delta PQR is an isosceles triangle.

  2. Question 2

    Arithmetic Progressions. Asked once: 2022

    2 (b)
    Find a and b so that the numbers a, 7, b, 23 are in A.P.

  3. Question 3

    Circles. Asked once: 2024

    24
    In the given figure, AB and CD are tangents to a circle centred at O. Is ∠BAC=∠DCA\angle BAC = \angle DCA ? Justify your answer.

  4. Question 4

    Coordinate Geometry. Asked once: 2024

    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) : The point which divides the line segment joining the points A(1,2)A(1, 2) and B(−1,1)B(-1, 1) internally in the ratio 1 : 2 is (−13,53)\left(\dfrac{-1}{3}, \dfrac{5}{3}\right) Reason (R) : The coordinates of the point which divides the line segment joining the points A(x1,y1)A(x_1, y_1) and B(x2,y2)B(x_2, y_2) in the ratio m1:m2m_1 : m_2 are (m1x2+m2x1m1+m2,m1y2+m2y1m1+m2)\left(\dfrac{m_1x_2 + m_2x_1}{m_1 + m_2}, \dfrac{m_1y_2 + m_2y_1}{m_1 + m_2}\right)

    Tap an option to check your answer.

  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2025

    33
    A bag contains some red and blue balls. Ten percent of the red balls, when added to twenty percent of the blue balls, give a total of 24. If three times the number of red balls exceeds the number of blue balls by 20, find the number of red and blue balls.