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Parabola question

2024 · 29 Jan · Shift 2 · Q57

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JEE Main
Mathematics
Parabola
2024 · 29 Jan · Shift 2 · Q57

Parabola question

2024 · 29 Jan · Shift 2 · Q57

JEE MainMathematicsParabolaNumerical+4 / −1

Let

P(\alpha, \beta)

be a point on the parabola

y^2=4 x

. If

P

also lies on the chord of the parabola

x^2=8 y

whose mid point is

\left(1, \frac{5}{4}\right)

, then

(\alpha-28)(\beta-8)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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