Mathematics · 2025
JEE Main · 28 January 2025, Shift 1 · Q22
If α=1+Σ_r=1^6(-3)^r-1^12 C_2 r-1, then the distance of the point (12, √ 3 ) from the line α x-√ 3 y+1=0 is ____.
$$\text { If } \alpha=1+\sum_{r=1}^6(-3)^{r-1}{ }^{12} \mathrm{C}_{2 r-1} \text {, }
$$
then the distance of the point $\displaystyle (12, \sqrt{3})$ from the line $\displaystyle \alpha x-\sqrt{3} y+1=0$ is $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
5
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.