Two mutually perpendicular long conducting wire carrying currents I₁ and I₂ lie in one plane. Locus of the point at which the magnetic induction is zero, is a
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Two mutually perpendicular long conducting wire carrying currents I₁ and I₂ lie in one plane. Locus of the point at which the magnetic induction is zero, is a

G1 Physics · Accepted Answer

For cancellation, magnitudes must satisfy μ₀I₁/(2πr₁)=μ₀I₂/(2πr₂), so r₁/r₂=I₁/I₂. For two perpendicular lines this fixed signed-distance ratio represents a straight line through their intersection. Hence C.