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Let the image of the point ((5)/(3),(5)/...

Let the image of the point `((5)/(3),(5)/(3),(8)/(3))` in the plane `x-2y+z=0` be P. If the distance of th point `Q(6,-2,a),a>0,` from P is `13` , then`a` is equal to _____.

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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