Question

Find the quadrants without plotting the points on a graph sheet.
(3-4), (-5,7), (2,0),(3,5),(4,-3), (-7,2),(-8,0), (-2,-10),(-9,50)​

Answer 1

We know,

The sign of coordinates in quadrants are as follow

$\begin{gathered}\boxed{\begin{array}{c|c} \bf Quadrant & \bf sign \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf {1}^{st} & \sf (+, +) \\ \\ \sf {2}^{nd} & \sf ( - , +) \\ \\ \sf {3}^{rd} & \sf ( - , - ) \\ \\ \sf {4}^{th} & \sf (+, - )\end{array}} \\ \end{gathered}$

Remark :-

If the coordinates is of the form, (a, 0), it lies on x - axis and if it is of the form (0, a), it lies on y - axis.

Now,

According to statement,

$\begin{gathered}\boxed{\begin{array}{c|c} \bf coordinate & \bf Quadrant \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf (3, - 4) & \sf {4}^{th} \\ \\ \sf (-5,7) & \sf {2}^{nd} \\ \\ \sf (2,0) & \sf lies \: on \: x \: axis \\ \\ \sf (3,5) & \sf {1}^{st} \\ \\ \sf (4,-3) & \sf {4}^{th} \\ \\ \sf (-7,2) & \sf {2}^{nd} \\ \\ \sf (-8,0) & \sf lies \: on \: x \: axis\\ \\ \sf (-2,-10) & \sf {3}^{rd} \\ \\ \sf (-9,50) & \sf {2}^{nd} \end{array}} \\ \end{gathered}$