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प्रश्न
The lines `(x - 2)/1 = (y - 3)/1 = (4 - z)/k` and `(x - 1)/k = (y - 4)/2 = (z - 5)/(-2)` are mutually perpendicular if the value of k is ______.
विकल्प
`- 2/3`
`2/3`
– 2
2
MCQ
रिक्त स्थान भरें
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उत्तर
The lines `(x - 2)/1 = (y - 3)/1 = (4 - z)/k` and `(x - 1)/k = (y - 4)/2 = (z - 5)/(-2)` are mutually perpendicular if the value of k is 2.
Explanation:
If `(x - 2)/1 = (y - 3)/1 = (z - 4)/(-k)`
And `(x - 1)/k = (y - 4)/2 = (z - 5)/(-2)` are perpendicular then
1 × k + 1 × 2 + (k) × (–2) = 0
⇒ k + 2 + 2k = 0
⇒ 2 + 3k = 0
⇒ k = `- 2/3`
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