Geometry follows Arithmetic in order of importance in the Quants section of **CAT Question Paper**, as can be seen from the **CAT Blueprint **. CAT Blueprint is 2IIM's analysis of ** CAT previous year paper** in order to understand the pattern followed and topics on which questions are framed. This means that **Geometry** is very crucial for your ** CAT Exam Preparation **. What better way to prepare for CAT than solving the actual CAT questions ? The below question is from **Coordinate Geometry**, try solving the question before moving onto the solutions provided.

Question 17 : The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is

- - 5
- - 6
- - 7
- - 8

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The points (2,5) and (6,3) are two end points of the diagonal of a rectangle.

The midpoint can be found by (\\frac{2 + 6}{2}) , \\frac{5 + 3}{2})) = (4 , 4)

Hence y = 3x + c passes through the midpoint of (4, 4), which is the midpoint of the other diagonal

4 = 3(4) + c

c = -8

The question is **"The points (2, 5) and (6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y = 3x + c, then c is" **

Choice D is the correct answer

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