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If x ,y ,z are real and 4x^2+9y^2+16 z^2...

If `x ,y ,z` are real and `4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx , y,z` are in a. A.P. b. G.P. c. H.P. d. none of these

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G....

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  2. If Sp denotes the sum of the series 1+r^p+r^(2p)+ toooa n dsp the sum ...

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  3. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

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

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  5. If H1, H2, ,H(20) are 20 harmonic means between 2 and 3, then (H1+2)/...

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  6. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

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  7. Let an=16 ,4,1, be a geometric sequence. Define Pn as the product o...

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  8. If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then ...

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  9. Let Tr be the rth term of an A.P., for r=1,2,3,..... If for some pos...

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  10. If an=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and bn=1-an, then find ...

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  11. For a positive integer n let a(n)=1+1/2+1/3+1/4+.....+1/((2^n)-1)dot T...

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  12. If x >1,y >1,a n dz >1 are in G.P., then 1/(1+lnx),1/(1+l ny)a n d1/(1...

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  13. .Let a1, a2,............ be positive real numbers in geometric progr...

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  14. about to only mathematics

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  15. If a ,b ,c are in A.P. and a^2, b^2, c^2 are in H.P., then prove tha...

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  16. Let a ,b be positive real numbers. If a, A1, A2, b be are in arithmeti...

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  17. The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, ...

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  18. If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P...

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  19. If y^2=x za n da^x=b^y=c^z , then prove that (log)6a=(log)c bdot

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  20. The geometric mean between -9 and -16 is 12 b. -12 c. -13 d. none of t...

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