PYQ Vault

Day 230: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. Asked once: 2024

    24
    In the given figure, ABCD is a quadrilateral. Diagonal BD bisects ∠B\angle B and ∠D\angle D both. Prove that : (i) ΔABD∼ΔCBD\Delta ABD \sim \Delta CBD (ii) AB = BC

  2. Question 2

    Real Numbers. Asked once: 2023

    26 (a)
    Find by prime factorisation the LCM of the numbers 18180 and 7575. Also, find the HCF of the two numbers.

  3. Question 3

    Triangles. 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) : ABCD is a trapezium with DC∥ABDC \parallel AB. E and F are points on AD and BC respectively, such that EF∥ABEF \parallel AB. Then AEED=BFFC\dfrac{AE}{ED} = \dfrac{BF}{FC}. Reason (R) : Any line parallel to parallel sides of a trapezium divides the non-parallel sides proportionally.

    Tap an option to check your answer.

  4. Question 4

    Triangles. Asked once: 2024

    24
    In the given figure, EAEC=EBED\dfrac{EA}{EC} = \dfrac{EB}{ED}, prove that ΔEAB∼ΔECD\Delta EAB \sim \Delta ECD

  5. Question 5

    Triangles. Asked once: 2024

    25
    In ΔABC\Delta ABC, altitudes AD and BE are drawn. If AD = 7 cm, BE = 9 cm and EC = 12 cm then, find the length of CD.