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If F = a.(|b|).c.(|d|).e.(|f|).g(|h|).i....

If `F = a.(|b|).c.(|d|).e.(|f|).g(|h|).i.(|j|)` and `G = a.b.c. d.e.f.g.h.i.j` Again, `a = (-1)^1, b = (2)^(-2) , c = (-3)^(3), d = (4)^(-4) ,…..j = (10)^(-10)` then the correct relation is :

A

F = -G

B

F = G

C

F.G = 1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
For F, the modulus of b, d, f, h, j is ineffective since for the given values of b, d, f, h, j the value of (absb) = b, absd = d … etc.
Therefore F = G
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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. In the following division problem some digits are replaced by letters ...

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  2. In the following division problem some digits are replaced by letters ...

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  3. If F = a.(|b|).c.(|d|).e.(|f|).g(|h|).i.(|j|) and G = a.b.c. d.e.f.g.h...

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  4. If 2f(x) = f(2x), 3f(x) = f(3x), 4f(x) = f(4x)……. etc. then f(1) + f(2...

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  5. If f(x + 1/x) = x^2 + 1/(x^2) , then f(t) equals to :

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  6. P ** q = p^2 - q^2 p % q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

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  7. P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

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  8. P ** q = p^2 - q^2 p $ q = p^2 - q^2 p $ q = p^2 + q^2 p @ q = p...

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  9. Follow the steps to solve the given problem : Step 1. Put x = 2 and ...

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  10. p @ q = p^2 - 20 if p > q , q 2 q = p^2 + 20 if p le q, then for a = 5...

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  11. If x # y = (x + y)/(xy), then the value of P # (q # r) for every p, q,...

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  12. If f(x , y) = ((x + y)^2)/(xy) for every x, y > 0 then f(x,y) must be ...

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  13. The function f1 and f2 are defined as follows : f1 = a! + b! and f2 = ...

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  14. For any natural number p and q (i) p # q = p^3 + q^3 + 3 and p ** q ...

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  15. For any natural number p and q (i) p # q = p 3 + q 3 + 3 and p ∗ q = ...

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  16. The value of [Max (2,4)$ "Min" (6,8)] # [ "Min" (10,12) $ Max (14,16)]

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  17. (1-1/3)(1-1/4)(1-1/5)…(1-1/n) equals:

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  18. If the sum of three consecutive integers is 21, then the sum of the tw...

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  19. The sum of squares of first ten natural numbers is :

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  20. The sum of first 50 odd natural numbers is

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