Two point charges \( Q \) and \( -Q / 4 \) placed along the \( x \)-axis are separated by a dist...

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Two point charges \( Q \) and \( -Q / 4 \) placed along the \( x \)-axis are separated by a distance \( r \). Take \( -Q / 4 \) as origin and it is placed at the right of \( Q \). Then the potential is zero
(1) at \( x=r / 3 \) only
(2) at \( x=-r / 5 \) only
(3) both at \( x=r / 3 \) and at \( x=-r / 5 \)
(4) there exist two points on the axis where the electric field is zero
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