यदि A2+B2+C2=0 है, तो निम्नलिखित का मान क्या है?

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Answer (Detailed Solution Below)

Option 2 : 0
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संप्रत्यय:

जब A2 + B2 + C2 = 0 है, इसका अर्थ A = B = C = 0 (चूँकि वास्तविक संख्याओं के वर्ग ऋणात्मक नहीं होते हैं) है। 

सारणिक की गणना के लिए आव्यूह में A, B और C के मान प्रतिस्थापित करें

गणना:

चूँकि, Cos0 =1

इस प्रकार आव्यूह बन जाता है

अब सारणिक = 1[(1×1 - 1×1)] - 1[(1×1 - 1×1)] + 1[(1×1 - 1×1)]

= 1(0) - 1(0) + 1(0) = 0

∴ सारणिक का मान 0 है।

इसलिए, सही उत्तर विकल्प 2 है।

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