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Two points $(a, 3)$ and $(5, b)$ are the opposite vertices of a rectangle. If the other two vertices lie on the line $y = 2 x + c$ which passes through the point $(a, b)$ then the value of $c$ is

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Correct option is A

Mid point of the line joining the given points lie on the given line 3+b2=2a+52+c⇒2a+2c−b+7=0 (i)Also since the given line passes through (a, b) b=2a+c (ii)Solving (i) and (ii) we get c=-7

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Two points (a, 3) and (5, b) are the opposite vertices of a rectangle. If the other two vertices lie on the line y =2x+c which passes through the point (a, b) then the value of c is

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Two points $(a, 3)$ and $(5, b)$ are the opposite vertices of a rectangle. If the other two vertices lie on the line $y = 2 x + c$ which passes through the point $(a, b)$ then the value of $c$ is