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The line joining the points $(2, x)$ and $(3, 1)$ is perpendicular to the line joining the points $(x, 4)$ and $(7, 5)$ . The value of $x$ is

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Correct option is C

Slope of the line joining (2, x) and (3, 1) is 1-x3-2 and that of the line joining x,4 and 7,5 is 5-47-x. Since the lines are perpendicular the product of the slopes is -1⇒ 1−x1×17−x=−1⇒ x=4.

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The line joining the points (2, x) and (3, 1) is perpendicular to the line joining the points (x, 4) and (7, 5). The value of x is

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The line joining the points $(2, x)$ and $(3, 1)$ is perpendicular to the line joining the points $(x, 4)$ and $(7, 5)$ . The value of $x$ is