If (1,3k) lies on kx+4y=26, the value of k is ___

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If (1,3k) lies on $k x + 4 y = 26,$ the value of $k$ is

___

Options:

Answer: Option A
:

If the point (1,3k) lies on the given equation, then it should satisfy the equation.
Substituting the values of x and y in the given equation:
$\Rightarrow k (1) + 4 (3 k) = 26$
$\Rightarrow 13 k = 26$
$\Rightarrow k = 2$
Thus, the value of $k$ is 2.

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