
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Among the following three propositions about conic sections:  
\\(①\\) Let \\(A\\) and \\(B\\) be two fixed points, and \\(K\\) be a non-zero constant. If \\(|PA|-|PB|=K\\), then the trajectory of the moving point \\(P\\) is a hyperbola.  
\\(②\\) The roots of the equation \\(2x^{2}-5x+2=0\\) can be used as the eccentricities of an ellipse and a hyperbola, respectively.  
\\(③\\) The hyperbola \\( \dfrac {x^{2}}{25}- \dfrac {y^{2}}{9}=1\\) and the ellipse \\( \dfrac {x^{2}}{35}+y^{2}=1\\) have the same foci.  
\\(④\\) Given a parabola \\(y^{2}=2px\\), if a circle is drawn with a chord \\(AB\\) passing through the focus as its diameter, then this circle is tangent to the directrix.  
The true propositions are __________ (write down the numbers of all true propositions).

Present the answer in LaTex format: \boxed{Your answer}
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