PYQ Vault

Triangles

CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 6 times: CDS 1 2019, CDS 1 2021, CDS 1 2023, CDS 2 2023, CDS 1 2025, CDS 2 2025. This one: CDS 2 2025 See all 6 of this type

    72
    ABCABC is a triangle right angled at BB. DD is a point on ACAC such that BDBD is perpendicular to ACAC. If AB=pAB = p and BC=3pBC = \sqrt{3}p, then what is BDBD equal to?

    Tap an option to check your answer.

  2. Question 2

    This type asked 5 times: CDS 2 2020, CDS 1 2022, CDS 1 2025, CDS 1 2026, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    74
    In a triangle ABC, AD is the bisector of angle A that meets BC at D. If AB = 21 cm, DC = 20 cm and AB : AC = 3 : 4, then what is AC2−BD2AC^2 - BD^2 equal to ?

    Tap an option to check your answer.

  3. Question 3

    This type asked 5 times: CDS 2 2018, CDS 1 2021, CDS 1 2022, CDS 2 2022, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    63
    A Question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option. Question : ABC is a triangle right-angled at A and AD is perpendicular to BC. If AD = 7.2 cm, then what is BD ×\times CD equal to ? Statement I : AB : AC = 3 : 4. Statement II : BC = 15 cm. Which one of the following is correct in respect of the above Question and Statements ?

    Tap an option to check your answer.

  4. Question 4

    Asked 4 times: CDS 2 2018*, CDS 1 2021*, CDS 1 2022*, CDS 2 2022 (* = numbers or wording changed that year) See all 4 times it was asked

    76
    Triangle ABC is right-angled at A and AD is perpendicular to BC. If BD = 7.5 cm and DC = 10 cm, then what is AD equal to ?

    Tap an option to check your answer.

  5. Question 5

    This type asked 4 times: CDS 2 2018, CDS 1 2019, CDS 1 2021, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type

    68
    Consider the following statements : I. The areas of two similar triangles are in the ratio of the squares of the corresponding medians. II. The areas of two similar triangles are in the ratio of the squares of the corresponding heights. Which of the statements given above is/are correct ?

    Tap an option to check your answer.

  6. Question 6

    This type asked 4 times: CDS 2 2020, CDS 2 2021, CDS 2 2025, CDS 1 2026. This one: CDS 1 2026 See all 4 of this type

    56
    ABC is a triangle right-angled at B. Points M and N trisect BC. If AM=6AM = 6 cm and AN=9AN = 9 cm, then what is AC equal to ?

    Tap an option to check your answer.

  7. Question 7

    This type asked 4 times: CDS 2 2016, CDS 1 2017, CDS 1 2019, CDS 2 2023. This one: CDS 2 2023 See all 4 of this type

    56
    ABC is a triangle with sides AB = 41 cm, BC = 28 cm and CA = 15 cm. If D, E and F are the mid-points of AB, BC and CA respectively, then what is the area of the triangle DEF ?

    Tap an option to check your answer.

  8. Question 8

    This type asked 3 times: CDS 2 2017, CDS 1 2021, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    70
    In a triangle ABC, AB = 8 cm and D and E are points on AB and AC respectively such that DE is parallel to BC. If BC = 5DE, then what is AD ×\times BD equal to ?

    Tap an option to check your answer.

  9. Question 9

    This type asked 3 times: CDS 2 2017, CDS 1 2018, CDS 1 2026. This one: CDS 1 2026 See all 3 of this type

    49
    ABC is a triangle right-angled at B with sides BC=aBC = a, CA=bCA = b and AB=cAB = c. Let p be the length of the perpendicular from B to AC. Which of the following statements is/are correct ? I. p=aca2+c2p = \frac{ac}{\sqrt{a^2 + c^2}} II. pb=acpb = ac Select the answer using the code given below :

    Tap an option to check your answer.

  10. Question 10

    This type asked 3 times: CDS 1 2017, CDS 2 2018, CDS 1 2025. This one: CDS 1 2025 See all 3 of this type

    18
    The measure of an angle formed by the bisectors of the angles A and C of the triangle ABC is 130∘130^\circ. What is the measure of the angle B ?

    Tap an option to check your answer.