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Binomial Theorem question

2025 · 28 Jan · Shift 1 · Q48

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 28 Jan · Shift 1 · Q48

Binomial Theorem question

2025 · 28 Jan · Shift 1 · Q48

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

If

\alpha=1+\sum\limits_{r=1}^6(-3)^{r-1} \quad{ }^{12} \mathrm{C}_{2 r-1}

, then the distance of the point

(12, \sqrt{3})

from the line

\alpha x-\sqrt{3} y+1=0

is

\underline{\hspace{2cm}}

.

Numerical answer

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