Parabola Part 2

Section: Mathematics
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Question : 17 of 45
 
Marks: +1, -0
Let y2=12x be the parabola and S be its focus. Let PQ be a focal chord of the parabola such that (SP)(SQ)=‌
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4
. Let C be the circle described taking PQ as a diameter. If the equation of a circle C is 64x2+64y2−αx−64√3y=β, then β−α is equal to ______ .
[29 Jan 2025 Shift 2]
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