If the normal of the parabola \( y^{2}=4 x \) drawn at the end points of its latus rectum are ta....

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If the normal of the parabola \( y^{2}=4 x \) drawn at the end
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points of its latus rectum are tangents to the circle
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\( (x-3)^{2}+(y+2)^{2}=r^{2} \) then the value of \( r^{2} \) is


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