# CAT 2017 Question Paper | Quants Slot 2

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

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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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