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If m^(th), n^(th) and p^(th) terms of an...

If `m^(th), n^(th) and p^(th)` terms of an A.P and G.P be equal and be respectively x,y, z then………...................................................... a ) `x^(y).y^(z).z^(x) = x^(z).Y^(x).z^(y)` b ) `(x-y)^(x).(y-z)^(y)= (z-x)^(z)` c )`(x-y)^(z) (y-z)^(x)= (z-x)^(y)` d ) None of these

A

`x^(y).y^(z).z^(x)= x^(z).Y^(x).z^(y)`

B

`(x-y)^(x).(y-z)^(y)= (z-x)^(z)`

C

`(x-y)^(z) (y-z)^(x)= (z-x)^(y)`

D

None of these

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The correct Answer is:
A
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KUMAR PRAKASHAN-SEQUENCE AND SERIES-Textbook based MCQs
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  3. If A be one A.M and p, q be two G.M.'s between two numbers then 2A is ...

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  4. If m^(th), n^(th) and p^(th) terms of an A.P and G.P be equal and be r...

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  6. Series (1)/(log(2)^(2)) + (1)/(log(4)^(4)) + (1)/(log(8)^(4)) + …..+ (...

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  7. If Sigma n = 210 " then " Sigma n^(2)=…….

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  8. sqrt2 + sqrt8 + sqrt18 + sqrt32 +…..up to n terms is…….

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  9. 1^(2) + 3^(2) + 5^(2)+……..up to n terms is……..

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  10. If S(n)=1 + (1)/(2) + (1)/(2) + …..+ (1)/(2^(n-1)), (n in N) then …….

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  11. 0 lt theta lt (pi)/(2) then the minimum value of sin^(3) theta + cosec...

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  12. If a,b,c,d,e,f are in A.P. then d-b= ……

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  13. underset(r=1)overset(n)Sigma (underset(m=1)overset(r )Sigma m)=……

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  14. If 25, x - 6 and x - 12 are in G.P then x = .......... or ......... .

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  15. If 2,b,c, 23 are in G.P then (b-c)^(2)+ (c-2)^(2) + (23-b)^(2)= …….

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  16. If a + b + c = 5 then the maximum value of ab^(3)c is……

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  17. Three numbers a,b, c are between 2 and 18 such that a + b+ c= 25. If 2...

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  18. A G.P has 2n terms. Its first term is a and last term is l then the pr...

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  19. The measures of the sides of a right angle triangle are in A.P. The su...

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