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If a^2+b^2+c^2-ab-bc-ca=0 then, prove t...

If `a^2+b^2+c^2-ab-bc-ca=0` then, prove that a=b=c

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. If a ,b , a n dc are distinct positive real numbers such that a+b+c=1,...

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  3. If a^2+b^2+c^2-ab-bc-ca=0 then, prove that a=b=c

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  4. Find the minimum value of 4sin^(2)x+4cos^(2)x .

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  5. Prove that (a b+x y)(a x+b y)>4a b x y(a , b ,x ,y >0)dot

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  6. The minimum value of the sum of real number a^-5,a^-4,3a^-3,1,a^8 and ...

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  8. If a,b,c,d are positive real number such that a+b+c+d=2 , then M=(a+b)...

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  14. If a^2+b^2+c^2=x^2+y^2+z^2=1, then show that a x+b y+c z leq1.

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  18. If a+b=1,a >0, prove that (a+1/a)^2+(b+1/b)^2geq(25)/2dot

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