Consider an asymmetrically charged ring with point \(P\) on the axis at a distance \(x\) from the center of the ring.

**Statement 1**

Electric Field at point \(P\) is independent of the distribution of the charge on the ring.

**Statement 2**

\[E=\int { dE\cos { \theta } } \]

\[ \int { \frac { x }{ 4\pi { \varepsilon }_{ 0 }{ \left( { r }^{ 2 }+{ x }^{ 2 } \right) }^{ 3/2 } } dQ } \]

\[\frac { x }{ 4\pi { \varepsilon }_{ 0 }{ \left( { r }^{ 2 }+{ x }^{ 2 } \right) }^{ 3/2 } } \int { dQ } \]

\[\frac { x }{ 4\pi { \varepsilon }_{ 0 }{ \left( { r }^{ 2 }+{ x }^{ 2 } \right) }^{ 3/2 } } Q\]

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