Question
Download Solution PDFनिम्नलिखित में से कौन सा विकल्प रेखा की दिक्-कोज्या का प्रतिनिधित्व करता है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
यदि रेखा की दिक्-कोज्या, m, n है तो l2 + m2 + n2 = 1
विकल्प (1) के लिए:
\((0)^{2}+\left ( \frac{1}{2} \right )^{2}+\left ( \frac{1}{2} \right )^{2}=\frac{1}{4}+\frac{1}{4}\)
= \(\frac{1}{2}\neq 1\)
विकल्प (2) के लिए:
\(\left (\frac{1}{3} \right )^{2}+\left (\frac{1}{3} \right )^{2}+\left (\frac{1}{3} \right )^{2}=\frac{1}{9}+\frac{1}{9}+\frac{1}{9}\)
= \(\frac{1}{3}\neq 1\)
विकल्प (3) के लिए:
\((0)^{2}+\left ( \frac{1}{\sqrt{3}} \right )^{2}+\left ( \frac{1}{3} \right )^{2}=\frac{1}{3}+\frac{1}{9}\)
= \(\frac{4}{9}\neq 1\)
विकल्प (4) के लिए:
\(0^{2}+\left ( \frac{\sqrt{3}}{2} \right )^{2}+\left ( \frac{1}{2} \right )^{2}=1\)
इसलिए, दिए गए विकल्प में से सही उत्तर (4) है
0, \(\frac{\sqrt{3}}{2}, \frac{1}{2}\)
Last updated on May 26, 2025
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