In a certain region of space, the potential field depends on x and y coordinates as V = ( x 2 − y 2 ) . The corresponding electric field lines in x − y plane are correctly represented by :

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E = − d x d v ​ i ^ − d y d v ​ j ^ ​ = − 2 x i ^ + 2 y j ^ ​ ​ tan θ = − d x d y ​ = − x y ​ ⇒ y d y ​ = − x d x ​ ​ ln y = − ln x + ln C ln ( x y ) = ln C ​ x y = C ​ shape will be rectangular hyperbola

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JEE Main - 1 year (12th class)