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If 4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca),...

If `4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca)," where "a,b,c` are non-zero numbers, then a,b,c are in

A

A.P.

B

G.P.

C

H.P.

D

none

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The correct Answer is:
C
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ML KHANNA-PROGRESSIONS -PROBLEM SET - 5 (MULTIPLE CHOICE QUESTIONS)
  1. sum(r = 1)^(10) (r)/(1 - 3r^(2) + r^(4))=

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  2. If 21(a^(2) + b^(2) + c^(2)) = (a + 2b + 4c)^(2) then a, b, c are in

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  3. If 4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca)," where "a,b,c are non-zero nu...

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  4. alpha, beta, gamma are the geometric means between ca, ab, ab, bc, bc,...

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  5. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0) , then show tha...

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  6. If a^(x) = b^(y) = c^(z) and a, b, c are in G.P. then x, y, z are in

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  7. If a^(x) = b^(y) = c^(z) = d^(u) and a, b, c, d are in G.P. then x, y,...

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  8. If for an exponential function y = a^(x) (a gt 0, ne 1) x(1), x(2),…x(...

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  9. If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then ...

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  10. If x,1,z are in A.P. and x,2,z are in G.P., then x,4,z are in

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  11. If a,b,c are in A.P., a,x,b are in G.P. and b,y,c are in G.P. then a^(...

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  12. If a,b,c are in H.P., then (a)/(a+c),(b)/(c+a),(c)/(a+b) will be in

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  13. If a1, a2, ,an are in H.P., then (a1)/(a2+a3++an),(a2)/(a1+a3++an), ...

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  14. If xgt1,ygt1,zgt1 are in G.P. then 1/(a+Inx), 1/(1+Iny), 1/(1+Inz) are...

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  15. If x,y,z are in G.P. (x,y,z gt 1) , then (1)/(2x+log(e)x), (1)/(4x+log...

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  16. In an A.P., T(1) = log a, T(n+1) = log b, T(2n + 1) = log c, then a, b...

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  17. If in a G.P. of 3n terms S(1), S(2), S(3) denote the sum of first n, s...

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  18. If log(x+z)+log(x-2y+z)=2log(x-z)," then "x,y,z are in

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  19. If a, b, c are in H.P., then a^(2) (b - c)^(2), (b^(2))/(4) (c - a)^(2...

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  20. If I(n)=int(0)^(pi)(1-sin2nx)/(1-cos2x)dx then I(1),I(2),I(3),"….." ar...

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