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Question
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
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
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Solution
The correct option is D -8
Consider the figure given below:
We know that in rectangles, diagonals bisect each other.
So, mid-point of (2,5) and (6,3) = (4,4)
This point should satisfy the equation of the other diagonal which is given to us as y = 3x + c
Putting values for x and y, we get 4 = 12 + c
Therefore, c = -8
-8
Consider the figure given below:
We know that in rectangles, diagonals bisect each other.
So, mid-point of (2,5) and (6,3) = (4,4)
This point should satisfy the equation of the other diagonal which is given to us as y = 3x + c
Putting values for x and y, we get 4 = 12 + c
Therefore, c = -8
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