Question

State whether the following statement is true or false.
Point $\left( {8,7} \right)$ lies in the first quadrant of the graph.
1) True
2) False

Answer 1

Hint:
We can plot the given point in the graph. For that we can take the x coordinate as the distance from the y axis and y coordinate as the distance from the x axis. Then we can check the quadrant where the point lies. Then we can compare the result with the given statement and check whether it is true or false.

Complete step by step solution:
We are given the point $\left( {8,7} \right)$.
We can plot this point in a XY plane. For that we can draw an XY plane with X and Y axes and label them. Then we can mark the distance in both the axes.
As the x coordinate is 8, we can draw a line perpendicular to the x axis at 8 units away from the from the origin in the positive direction.
As they coordinate is 7, we can draw a line perpendicular to the y axis at 7 units away from the from the origin in the positive direction.
Then the point of intersection of the 2 lines will give the required point.

Now from observing the graph, we can conclude that the given point is in the first quadrant.
So, the given statement is true.

So, the correct answer is option A.

Note:
 Alternatively, we can directly find the quadrant which the given point lies by checking the sign of the coordinates.
We know that both the x and y coordinates of the points in the 1^st quadrant are positive.

Here we have the point $\left( {8,7} \right)$. It has y coordinate as 7 and x coordinate as 8. We know that both 8 and 7 are positive. So, the x and y coordinates are also positive.
As both the coordinates are positive, the point lies on the 1^st quadrant.
So, the given statement is true.