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Q.

Two point charges of different magnitudes and of opposite signs are separated by some distance. There can be

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a

only one point in space where net electric field intensity is zero

b

only two points in space where net electric potential is zero 

c

infinite number of points in space where net electric field intensity is 0

d

infinite number of points in space where net electric potential is zero 

answer is A, D.

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Detailed Solution

E is a vector quantity;  V is a scalar quantity. 

On the line joining the charges , there must be a point ( not between the charges ) where electric field is zero .

Suppose +Q1 is at the origin and -Q2 is at point (d,0).If the potential at point P(x,y) is zero , then 

 kQ1x2+y2-kQ2(d-x)2+y2=0.

All points on the curve given by the above equation must be at zero potential .

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