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Question

If a=xiyj,b=yi+xj and |a×b|=5, then locus of (x,y) is

A
Hyperbola
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B
Parabola
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C
Ellipse
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D
Circle
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Solution

The correct option is B Circle
a×b=∣ ∣ ∣^i^j^kxy0yx0∣ ∣ ∣=(x2+y2)^k
a×b=x2+y2
x2+y2=5
It is equation of circle.

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