set 26 q 32

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set 26 q 32

by radhika1306 » Tue Sep 11, 2007 11:03 am
If k = -1, which of the following is (are) true?
I. kk = k
II. |k| = -k
III. k0 = -k
A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
Source: — Problem Solving |

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by kajcha » Tue Sep 11, 2007 12:07 pm
Stmt I cannot be true. (Assuming kk means k*k) as kk = 1 and k=-1
Stmt II for sure is true.

I could not understand stmt III. Looks typo to me.

Anyways, ans would be D as rest of the options have I as choice.

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by radhika1306 » Thu Sep 13, 2007 9:39 am
III k^0 = -k

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by agps » Sat Sep 15, 2007 9:52 am
answer is D. as pointed out by kajcha, I is wrong and it's the onbly answer without I in it.

with the correction made by radhika1306 we can confirm that III is also true (-1)^0 = 1 = -k.