List of top Mathematics Questions on Horizontal and vertical lines asked in JEE Main

Let $(\alpha, \beta, y)$ be the foot of perpendicular form the point $(1,2,3)$ on the line $\bigg(\frac{x + 3}{5}$ = $\frac{y - 1}{2}$ = $\frac{z + 4}{3}$ $\bigg)$then $19 (\alpha + \beta + y)$

Let $\alpha, \beta, \gamma$ be the foot of perpendicular from the point $(1, 2, 3)$ on the line $\frac{x + 3}{5} = \frac{y - 1}{2} = \frac{z + 4}{3}$. Then $19(\alpha + \beta + \gamma)$ is equal to:

Let A(α, -2), B(α, 6) and C($\frac{\alpha}{4}$, -2) be vertices of a ΔABC. If (5, $\frac{\alpha}{4}$) is the circumcentre of ΔABC, then which of the following is NOT correct about ΔABC?