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प्रश्न
The two planes x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular, if k is equal to ______.
विकल्प
– 4
4
2
– 2
MCQ
रिक्त स्थान भरें
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उत्तर
The two planes x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular, if k is equal to 4.
Explanation:
Given, x – 2y + 4z = 10 and 18x + 17y + kz = 50 are perpendicular
∵ (1)(18) + (–2)(17) + (4)(k) = 0
18 – 34 + 4k = 0
–16 + 4k = 0
4k = 16
k = 4
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