AP EAMCET · Maths · Straight Lines
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).
- A \(\frac{37}{5}\)
- B \(\frac{34}{5}\)
- C \(\frac{36}{5}\)
- D \(\frac{35}{5}\)
Answer & Solution
Correct Answer
(C) \(\frac{36}{5}\)
Step-by-step Solution
Detailed explanation
\(\begin{array}{ll}\because A B \| C D & \\ \Rightarrow & m_{A B}=m_{C D} \\ & \frac{7-k}{3-2}=\frac{0-1}{3+2}\end{array}\) \(\Rightarrow \quad 7-k=\frac{-1}{5}\) 35 − 5k = − 1 5k = 36 k = 36 / 5
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