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If a,b,c are real numbers such that 3(a...

If `a,b,c` are real numbers such that `3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab+bc+ca)`, than `a,b,c`are in

A

A.P.

B

G.P

C

Both A.P and G.P

D

None of these

Text Solution

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The correct Answer is:
C
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VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
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  3. If a,b,c are real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab...

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  4. The number a, b and c are between 2 and 18, such that (i) their su...

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  5. three number a,b,c are in GP such that : (i) a+b+c=70 (ii) 4a,5b,4c a...

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  6. If tr denotes the r^(th) term of an G.P. and t1 t5 t10 t16 t21 t25 ...

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  7. The summation of series sum(r=1->99) 1/(sqrt(r+1)+sqrtr) is:

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  8. If a,b,c are in A.P. then the roots of the equation (a+b-c)x^2 + (b-a...

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  9. If sum of first n terms of a series is n/(n+1) find 1/(T8)where T8 is ...

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  10. if (1+3+5+7+....(2p-1))+(1+3+5+...+(2q-1)) =1+3+5+...+(2r -1), then le...

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  11. If S1 ,S2 and S3 denote the sum of first n1,n2 and n3 terms respec...

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  12. If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a ...

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  13. Let a1,a2 ,a3 …..be in A.P. and ap, aq , ar be in G.P. Then aq : ap ...

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  14. If underset(r=1)overset(n)Sigma r(r+1)(2r +3)=an^4+bn^3+cn^2+dn +e th...

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  15. If cos(x-y), cosx and cos(x+y) are in H.P., then |cos x sec (y)/(2)| e...

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  16. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)dot

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  17. If a1,a2 …. an are positive real numbers whose product is a fixed re...

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  18. If 3+5x + 7x^2…., oo term s=44/9 , then x is equal to:

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  19. If a(1), a(2), …..,a(n) are in A.P. with common difference d ne 0, the...

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  20. Let a1,a2,a3 …. an be in A.P. If 1/(a1an)+1/(a2a(n-1))+… + 1/(an a...

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