In what ratio does the $y-$axis divide the line segment joining the points $(-3, -4)$ and $(1, 2)$?

What is the primary purpose of data entry in the context of mathematics?

Match the items given in Column $I$ with those in Column $II$ and select the correct option given below:
Column $I$ | Column $II$
$a$. $p \land q$ | $i$. $p \to q$
$b$. $p \lor q$ | $ii$. $\sim p \lor \sim q$
$c$. $\sim(p \land q)$ | $iii$. $\sim p \lor q$
$d$. $p \to q$ | $iv$. $\sim p \land \sim q$

$A$ proton, a deuteron, and an $\alpha$-particle having the same momentum enter a region of uniform electric field between the parallel plates of a capacitor. The electric field is perpendicular to the initial path of the particles. The ratio of deflections suffered by them is

In an ellipse,the distance between its foci is $6$ and its minor axis is $8$. Then its eccentricity is

An inclined plane makes an angle of $30^{\circ}$ with the horizontal. $A$ solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to ........