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If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z)...

If `x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),t h e n` `x ,y ,a n dz` are in H.P. b. `1/x ,1/y ,1/z` are in A.P. c. `x ,y ,z` are in G.P. d. `1/a+1/d=1/b=1/c`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If the sum of the first 14 terms of an AP is 1050 and its first term i...

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  2. The next term of the G.P. x ,x^2+2,a n dx^3+10 is (729)/(16) b. 6 c. 0...

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  3. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),t h e n x ,y ,a n dz are ...

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  4. If the sum of n terms of an A.P. is given by Sn=a+b n+c n^2, w h e r ...

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  5. Let E=1/(1^2)+1/(2^2)+1/(3^2)+ Then, a.E<3 b. E >3//2 c. E...

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  6. If 1+2x+3x^2+4x^3+oogeq4 , then a) least value of x is 1//2; b) grea...

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  7. If p ,q ,a n dr are in A.P., then which of the following is/are true? ...

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  8. If n >1 , the value of the positive integer m for which n^m+1 divides ...

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  9. For an increasing A.P. a1, a2, an ifa1=a2+a3+a5=-12 and a1a3a5=80 , ...

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  10. If p(x)=(1+x^2+x^4++x)/(1+x+x^2++x^(n-1)^(2n-2) is a polynomial in x ,...

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  11. Q. Let n be an add integer if sin ntheta = sum(r=0)^n(br)sin^rtheta, f...

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  12. Match the statements/expressions given in Column 1 with the values ...

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  13. Let Sn=sum(k=1)^(4n)(-1)(k(k+1))/2k^2dot Then Sn can take value (s) 10...

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  14. if a ,b ,c are in G.P.,then (log)a 10 ,(log)b10,(log)c 10 are in

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  15. The 15th term of the series 2 1/2+1 7/(13)+1 1/9+(20)/(23)+ i s (10)/...

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  16. Let a1, a2, a3, ,a(11) be real numbers satisfying a1=15 , 27-2a2>0 a ...

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  17. Statement 1: Coefficient of x^(14) in (1+2x+3x^2+....+16 x^(15))^2 is ...

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  18. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

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  19. Statement 1: x=1111....1 of 91 times of is a composite number.

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  20. Statement 1: If an infinite G.P. has 2nd term x and its sum is 4, then...

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