Question
Download Solution PDFबिंदु A (2, - 3, 1) और B (3, - 4, - 5) से होकर गुजरने वाली रेखा का समीकरण ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
A (x1, y1, z1) और B (x2, y2, z2) से होकर गुजरने वाली एक रेखा का कार्तीय समीकरण निम्न दिया गया है:\(\frac{{x - {x_1}}}{{{x_2} - {x_1}}} = \frac{{y - {y_1}}}{{{y_2} - {y_1}}} = \frac{{z - {z_1}}}{{{z_2} - {z_1}}}\)
गणना:
दिया गया है: A (2, - 3, 1) और B (3, - 4, - 5) दो बिंदु हैं।
माना कि x1 = 2, y1 = - 3, z1 = 1, x2 = 3, y2 = - 4 और z2 = - 5 है।
चूँकि हम जानते हैं कि, A (x1, y1, z1) और B (x2, y2, z2) से होकर गुजरने वाली एक रेखा का समीकरण निम्न दिया गया है: \(\frac{{x - {x_1}}}{{{x_2} - {x_1}}} = \frac{{y - {y_1}}}{{{y_2} - {y_1}}} = \frac{{z - {z_1}}}{{{z_2} - {z_1}}}\)
अतः रेखा का आवश्यक समीकरण निम्न है:\(\frac{{x - 2}}{1} = \frac{{y + 3}}{{ - \;1}} = \frac{{z - 1}}{{ - 6}}\)
Last updated on Jun 20, 2025
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