If \alpha=1+\sum_{r=1}^{6}(-3)^{r-1} { }^{12} C_{2 r-1}, then the distance of the point (12, \sqrt{3}) from the line \alpha x-\sqrt{3} y+1=0 is _____ [28 Jan 2025 Shift 1]

JEE Main 28 Jan 2025 Shift 1 Paper

SECTION - B Numerical Value Type Questions: This section contains 5 Numerical based questions. The answer to each question should be rounded-off to the nearest integer.

Section: Mathematics

Question : 21 of 75

Marks: +1, -0

If α=1+

∑

r=1

(−3)r−1‌‌‌12C2r−1, then the distance of the point (12,√3) from the line αx−√3y+1=0 is _____

[28 Jan 2025 Shift 1]

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