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  4. The complete set of non-zero values of k such that the equation |x2-10 x+9|=k x is satisfied by atleast one and atmost three values of x, is

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Q. The complete set of non-zero values of $k$ such that the equation $\left|x^2-10 x+9\right|=k x$ is satisfied by atleast one and atmost three values of $x$, is

Application of Derivatives

Solution:

image From the graph $(-\infty,-16] \cup[4, \infty)$