Rectangle Diagonal Equation Parameter c
CAT 2017 Slot 2 · Quantitative Ability · Medium · Co-ordinate Geometry
This is a medium Quantitative Ability question from the CAT 2017 Slot 2 paper. It tests Co-ordinate Geometry. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.
The points and are two end points of a diagonal of a rectangle. If the other diagonal has the equation , then is
- A.
–5
- B.
–6
- C.
–7
- D.
–8
Answer
D
Explanation
The diagonals of a rectangle bisect each other.
Midpoint of the given diagonal = .
The other diagonal must also pass through this midpoint .
Substitute into : .
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