PYQ Vault

Two vertical poles, lines from each top to the foot of the other: height of the crossing = ab/(a+b)

This type of question, asked 2 times: CDS 1 2024, CDS 2 2025. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1 (case study, 2 parts)

    CDS 1 2024

    Consider the following for the next two (02) items that follow : Let two parallel line segments PQ = 5 cm and RS = 3 cm be perpendicular to a horizontal line AB, as shown in the figure given below. The point of intersection of PS and QR is M and MN is perpendicular to QS.
    81
    What is the length of MN ?

    Tap an option to check your answer.

    82
    What is the ratio of the area of the quadrilateral PQNM to the area of the quadrilateral RSNM ?

    Tap an option to check your answer.

  2. Question 2

    CDS 2 2025

    66
    Two poles of heights 10 m and 15 m are 25 m apart. What is the height of the point of intersection of the lines joining the tip of each pole to the foot of the other pole?

    Tap an option to check your answer.