CBSE Class 12 Sample Paper for 2024 Boards
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CBSE Class 12 Sample Paper for 2024 Boards
Last updated at April 16, 2024 by Teachoo
The given lines are : 𝑟 ⃗=𝑖 ˆ+𝑗 ˆ−𝑘 ˆ+𝜆(𝟐𝒊 ˆ+𝟑𝒋 ˆ−𝟔𝒌 ˆ ) and 𝑟 ⃗=2𝑖 ˆ−𝑗 ˆ−𝑘 ˆ+𝜇(6𝑖 ˆ+9𝑗 ˆ−18𝑘 ˆ) or 𝑟 ⃗=2𝑖 ˆ−𝑗 ˆ−𝑘 ˆ+3𝜇(2𝑖 ˆ+3𝑗 ˆ−6𝑘 ˆ) Let 3𝜇=𝑎 𝑤ℎ𝑒𝑟𝑒 𝑎 𝑖𝑠 𝑎𝑛𝑦 𝑠𝑐𝑎𝑙𝑎𝑟 or 𝑟 ⃗=2𝑖 ˆ−𝑗 ˆ−𝑘 ˆ+𝑎(𝟐𝒊 ˆ+𝟑𝒋 ˆ−𝟔𝒌 ˆ) Since the parallel vector in both is the same Hence, the given lines are parallel So, the correct answer is (d)
