Question
Download Solution PDFमूल बिंदु से समतल x + y + z = 3 पर खींचे गए लंब का पाद ______ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
एक बिंदु P (x1, y1, z1) से समतल ax + by + cz + d = 0 की लंब दूरी निम्न द्वारा दी जाती है: \(d = \left| {\frac{{a{x_1} + b{y_1} + c{z_1} + d}}{{\sqrt {{a^2} + {b^2} + {c^2}} }}} \right|\)
गणना :
माना A(x, y, z) मूल बिंदु से समतल x + y + z = 3 पर खींचे गए लंब का पाद है।
जैसा कि हम जानते हैं कि एक बिंदु P (x1, y1, z1) से समतल ax + by + cz + d = 0 की लंब दूरी निम्न द्वारा दी जाती है: \(d = \left| {\frac{{a{x_1} + b{y_1} + c{z_1} + d}}{{\sqrt {{a^2} + {b^2} + {c^2}} }}} \right|\)
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