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Question

If (m - 1)(1 - k) = 0, which of the following can be true?
I. m = 1
II. k = 1
III. m = k

A
None
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B
II only
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C
III only
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D
I and II only
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E
I, II and III
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Solution

The correct option is C I and II only
For m = 1,
(11)(1k)=0
0(1k)=0
0=0
m = 1 satisfies the following equation.
For k = 1,
(m1)(11)=0
(m1)0=0
0=0
k = 1 satisfies the following equation.
For m = k,
(k1)(1k)0
m = k is not satisfying the following equation.
So, the condition I and II only are true.

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