Which axis passes through the point $\left(7 \frac{3}{4}, 0\right)?$

Points $A(5,3)$,$B(-2,3)$,and $D(5,-4)$ are three vertices of a square $ABCD$. Plot these points on a graph paper and hence find the coordinates of the vertex $C$.

In which quadrant or on which axis does each of the following points lie?
$A(10, 40), B(-30, 0), C(50, -40), D(0, -30), E(-20, 50), F(0, 60), G(70, 0), H(-40, -50)$
Verify your answer by plotting the points in the Cartesian plane. Use the scale $1 \, cm = 10$ units on both axes.

If $a=5, b=7, c=3$ and $d=-5,$ then the point $\left(\frac{a}{b}, \frac{c}{d}\right)$ is in the $\ldots \ldots$ quadrant.

State the coordinates of the points shown in the figure below.

Write the coordinates of the vertices of a rectangle whose length and breadth are $5$ and $3$ units respectively,one vertex is at the origin,the longer side lies on the $x$-axis,and one of the vertices lies in the third quadrant.