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x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2...

`x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2 "y,if,|x+y|" is odd"):}`
`x"@"y={{:(3x-y,if,|x+y|" is even"),(2x#2y" ,if",|x+y|" is odd"):}`
Which of the following is true?
(i) If `q=2p and p+q` is even, then `p#q=q#p`
(ii) If `q=3p, p"@"q` will always be zero
(iii) If `q=2p and p` is odd, then `p"@"q` will even

A

(ii) only

B

(iii) only

C

(i) abd (iii) only

D

(ii) and (iii) only

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT SSC-FUNCTIONS AND GRAPH-EXERCISE(LEVEL 1)
  1. a and b are any number and x and y are any non negative integers. f(...

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  2. x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2 "y,if,|x+y|" is odd"):} x"@...

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  3. x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2 "y,if,|x+y|" is odd"):} x"@...

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  4. x#y={{:(x+2y,if,|x+y|" is even"),(2x" @2 "y,if,|x+y|" is odd"):} x"@...

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  5. a#b=a^(2)+b-1 a$b=a^(2)+b^(2)+1 "Max (a,b)"=|a+b| "Min (a, b)"=|...

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  6. a#b=a^(2)+b-1 a$b=a^(2)+b^(2)+1 "Max (a,b)"=|a+b| "Min (a, b)"=|...

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  7. a#b=a^(2)+b-1 a$b=a^(2)+b^(2)+1 "Max (a,b)"=|a+b| "Min (a, b)"=|...

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  8. If aDeltab=a^(b)+ab+(a)/(b), then (9Delta3) is equal to :

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  9. a**b#c=(ab)^(c): a#b**c=a^(b).c, then find the value of 3#4**5+3**4#...

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  10. a#b=(-1)^(ab)(a^(b)+b^(a)) f(x)=x^(2)-2x if x ge 0 =0if x lt0 g(...

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  11. a#b=(-1)^(ab)(a^(b)+b^(a)) f(x)=x^(2)-2x if x ge 0 =0if x lt0 g(...

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  12. a o+ b=(a+b)^(2)-ab a**b=(ab)^(2)-ab a"@"b=(a-b)^(2)-ab Find the...

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  13. a o+ b=(a+b)^(2)-ab a**b=(ab)^(2)-ab a"@"b=(a-b)^(2)-ab Find the...

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  14. If mltn then mDn=mCn else mDn=nCm If m=n then mEn=mn else mEn=mCn wh...

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  15. If mltn then mDn=mCn else mDn=nCm If m=n then mEn=mn else mEn=mCn wh...

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  16. Devic Mathematics are as follows : +rarr" multiplication" - rarr" ...

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  17. Devic Mathematics are as follows : +rarr" multiplication" - rarr" ...

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  18. Devic Mathematics are as follows : +rarr" multiplication" - rarr" ...

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  19. Devic Mathematics are as follows : +rarr" multiplication" - rarr" ...

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  20. Devic Mathematics are as follows : +rarr" multiplication" - rarr" ...

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