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
Updated On: Sep 26, 2024
- -5
- -6
- -7
- -8
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The Correct Option is D
Solution and Explanation
The correct answer is (D):
In a rectangle, diagonals bisect each other, so one diagonal should pass through the midpoint of the other. Midpoint of the diagonal connecting (2, 5) and (6, 3)
= (2+6/2, 5+3/2) = (4,4)
The other diagonal, y = 3x + c should also pass through (4, 4).
On substitution, 4 = 3 (4) + c ⇒ –8.
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