# CAT 2017 Question Paper | Quants Slot 2

###### CAT Previous Year Paper | CAT Coordinate Geometry Questions | Question 17

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

1. - 5
2. - 6
3. - 7
4. - 8

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##### Method of solving this CAT Question from Coordinate Geometry

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"

##### Hence, the answer is - 8

Choice D is the correct answer

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