1
Question
∣∣
∣∣0p−qp−rq−p0q−rr−pr−q0∣∣
∣∣ is equal to
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Solution
The correct option is A 0
∣∣
∣∣0p−qp−rq−p0q−rr−pr−q0∣∣
∣∣
=0(0−(r−q)(q−r))−(p−q)(0−(r−p)(q−r))+(p−r)((q−p)(r−q)−0)
=(p−q)(r−p)(q−r)+(p−r)(q−p)(r−q)=0
∣∣ ∣∣0p−qp−rq−p0q−rr−pr−q0∣∣ ∣∣
=0(0−(r−q)(q−r))−(p−q)(0−(r−p)(q−r))+(p−r)((q−p)(r−q)−0)
=(p−q)(r−p)(q−r)+(p−r)(q−p)(r−q)=0
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