IIFT 2019 Question Paper | Quants

CAT Questions

The best way to boost your IIFT prep is to practice the actual IIFT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. In the 2019 IIFT, quants were a mixed bag of questions of varying difficulty, with some routine questions and the others were very demanding. Some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts.

Question 2: If the co-ordinates of orthocentre and the centroid of a triangle ABC are (-5, 7) and (5, 5), then the circumcentre of the triangle ABC is :

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Video Explanation

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Explanatory Answer

This question is based on the property that:

The orthocentre, centroid and circumcentre of any triangle lie in a straight line and the centroid divides the line joining the orthocentre and circumcentre in the ratio 2:1.


Using section formula we find (p, q).
5 = (2p - 5)/3 and 5 = (2q + 7)3
We get p = 10 and q = 4

And thus, (10, 4) are the coordinates of the circumcentre.

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The question is "The circumcentre of the triangle ABC is :"

Hence, the answer is, "(10,4)"