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Parabola question

2025 · 29 Jan · Shift 2 · Q47

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PYQ Library
JEE Main
Mathematics
Parabola
2025 · 29 Jan · Shift 2 · Q47

Parabola question

2025 · 29 Jan · Shift 2 · Q47

JEE MainMathematicsParabolaNumerical+4 / −1

Let

y^2=12 x

be the parabola and

S

be its focus. Let

P Q

be a focal chord of the parabola such that

(S P)(S Q)=\frac{147}{4}

. Let

C

be the circle described taking

P Q

as a diameter. If the equation of a circle

C

is

64 x^2+64 y^2-\alpha x-64 \sqrt{3} y=\beta

, then

\beta-\alpha

is equal to

\qquad

.

Numerical answer

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