CAT Practice : Coordinate Geometry

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Geometry - Triangles

Basic Geometry

    Q.42: M and N are two points on the side PQ and PR of a triangle PQR respectively such that MNQR is a trapezium and MN:QR = 2:5. Find the ratio of the area of triangle PMN : Trapezium MNQR.
    1. 4:25
    2. 1:2
    3. 4:21
    4. 4:10


  • Correct Answer
    Choice (C). 4:21

Detailed Solution

Given, MNQR is a trapezium =) MN || QR
Therefore, ΔPMN ~ ΔPQR
Since, MN:QR = 2:5, heights of ΔPMN and ΔPQR will also be in the ration 2:5.
=) =

Correct Answer: 4:21

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Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.