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Problem 6

If the points \((1,3)\) and \((5,1)\) are two opposite vertices of a rectangle and the other two vertices lie on the line \(y=2 x+c\), then the value of \(c\) is : (a) \(-2\) (b) 3 \(\begin{array}{ll}\text { (c) }-4 & \text { (d) } 5\end{array}\)

Expert verified

The value of c in the line equation where the other two vertices of the rectangle lie is -4, hence answer (c) is correct.

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