Find the possible values of $k$ in each of the following the distance between \(A\left( -2,1 \righ

Question

Find the possible values of $k$ in each of the following the distance between $A\left( -2,1 \right)$ and $B\left( k-1,-6 \right)$ is $\sqrt{85}$ units the distance between $C\left( 2k-1,2 \right)$ and $D\left( -2,-3k \right)$ is $5$units.

Accepted Answer

(i) $k = 5$ or $-7$ (ii) $k = -2$ or $\frac{10}{13}$

Using the Length to Determine the Coordinates of a Point on the Line

Using the Length to Determine the Coordinates of a Point on the Line

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