Find the value of k, if the line joining the points (2, k) and (3, 7) is parallel to the line joining points…

Find the value of k, if the line joining the points (2, k) and (3, 7) is parallel to the line joining points (− 2,1) and (3, 0).
  1. $\frac{37}{5}$
  2. $\frac{34}{5}$
  3. $\frac{36}{5}$
  4. $\frac{35}{5}$

Solution


$\begin{array}{ll}\because A B \| C D & \\ \Rightarrow & m_{A B}=m_{C D} \\ & \frac{7-k}{3-2}=\frac{0-1}{3+2}\end{array}$ $\Rightarrow \quad 7-k=\frac{-1}{5}$ 35 − 5k = − 1 5k = 36 k = 36 / 5

Asked in: AP EAMCET 2021 (25 Aug Shift 2)

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