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Question

Let a=^j^k,b=x^i+^j+(1x)^k and c=y^i+x^j+(1+xy)^k. Then [a,b,c] depends on

A
only y
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B
only x
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C
both x and y
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D
neither x nor y
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Solution

The correct option is C both x and y
a=^ȷ^kb=x^i+^ȷ+(1x)^kc=y^ı+x^ȷ+(1+xy)^k
[abc]
=∣ ∣011x11xyx1+xy∣ ∣=2x2+2yx
so [abc] depends on both x and y

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