Question
Download Solution PDFकेंद्र से तल 2x - 3y + 6z - 42 = 0 तक खींचे गए लंब की लम्बाई क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
तल ax + by + cz + d = 0 से बिंदु (p, q, r) की दूरी
D = \(\rm \left|ap+bq+cr + d\over \sqrt{a^2+b^2+c^2}\right|\) है।
गणना:
तल का दिया गया समीकरण निम्न है
2x - 3y + 6z - 42 = 0
केंद्र (0, 0, 0) से तल की दूरी
D = \(\rm \left|2\times0-3\times 0+6\times0 -42\over \sqrt{2^2+(-3)^2+6^2}\right|\)
D = \(\rm \left|-42\over \sqrt{4+9+36}\right|\) = \(\left|-42\over7\right|\)
D = 6
Last updated on May 31, 2025
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