यदि `a^(2)+b^(2)+c^(2)-ab-bc-ca=0`, तब सिध्द कीजिए कि a = b = c.

यदि `a^(2)+b^(2)+c^(2)-ab-bc-ca=0`, तब सिध्द क�

1.	यदि `a^(2)+b^(2)+c^(2)-ab-bc-ca=0`, तब सिध्द कीजिए कि a = b = c.
Answer» यहाँ `a^(2)+b^(2)+c^(2)-ab-bc-ca=0` दोनों ओर 2 से गुणा करने पर `2a^(2)+2b^(2)+2c^(2)-2ab-2bc-2ac=0` `(a^(2)+a^(2))+(b^(2)+b^(2))+(c^(2)+c^(2))-2ab-2bc-2ca=0` `(a^(2)-2ab+b^(2))+(b^(2)-2bc+c^(2))+(c^(2)-2ca+a^(2))=0` `(a-b)^(2)+(b-c)^(2)+(c-a)^(2)=0` `rArr" "(a-b)^(2)=0," "(b-c)^(2)=0," "(c-a)^(2)=0` `rArr" "(a-b)=0," "(b-c)=0," "(c-a)=0` `rArr" "a=b," "b=c," "c=a` `rArr" "a=b=c`

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यदि `a^(2) + b^(2) + c^(2) = 250` व ab + bc + ca = 3, तब a + b + c का मान ज्ञात कीजिए ।
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यदि `x^(2) + (1)/(x^(2))=102`, तब `x - (1)/(x)`=A. 100B. 127C. 10D. 12
यदि `a^(2) + (1)/(a^(2)) = 34`, निम्न के मान ज्ञात कीजिए । (i) `a + (1)/(a)` (ii) `a - (1)/(a)`
यदि `x - y = 5` व `xy = 12`, तब `x^(2) + y^(2)`=A. 49B. 25C. 144D. इनमे से कोई नहीं
यदि `a^(2)+b^(2)+c^(2)-ab-bc-ca=0`, तब सिध्द कीजिए कि a = b = c.