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Question

A=∣∣ ∣∣11111+x1111+y∣∣ ∣∣=

A
xy
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B
x+y
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C
xy
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D
x2y2
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Solution

The correct option is C xy
Let A=∣ ∣11111+x1111+y∣ ∣
By column trasformation on determinant,
C1C1C2 and C3C3C2
A=∣ ∣010x1+xx01y∣ ∣
On expansion we get,
A=1(xy)=xy

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