Question
Download Solution PDFसमतल 3x - 6y + 2z + 11 = 0 से बिंदु (2, 3, 4) की दूरी क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा :
एक बिंदु P (x1, y1, z1) से एक समतल ax + by + cz + d = 0 की लंबवत दूरी इसके द्वारा दी गई है:
गणना :
यहाँ, हमें बिंदु (2, 3, 4) की समतल 3x - 6y + 2z + 11 = 0 से दूरी का पता लगाना है
जैसा कि हम जानते हैं कि एक बिंदु P (x1, y1, z1) से एक समतल ax + by + cz + d = 0 की लंबवत दूरी इसके द्वारा दी गई है:
यहाँ, x1 = 2, y1 = 3, z1 = 4, a = 3, b = - 6 और c = 2
तो, दिए गए बिंदु और समतल के बीच आवश्यक दूरी
⇒ D = 1
इसलिए, विकल्प A सही उत्तर है।
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