![]() ![]() ![]() These are often numbered from \(1^\text\) and denoted by Roman numerals: I \((\)where the signs of the two coordinates are ( , )\()\), II (−, ), III (−,−), and IV ( ,−).įind the quadrant in which the point \((-5,11)\) lies.Īs the \(x\)-coordinate is negative and the \(y\)-coordinate is positive, the point lies in the second quadrant. If \(x\) is positive and \(y\) is negative, then the point lies in the fourth quadrant.If both \(x\) and \(y\) are negative, then the point lies in the third quadrant.If \(x\) is negative and \(y\) is positive, then the point lies in the second quadrant.If both \(x\) and \(y\) are positive, then the point lies in the first quadrant.Suppose we need to find the quadrant of a point \((x,y)\). It can also be defined as the \((0,0)\) point in the coordinate plane. These two axes intersect each other at a point called the origin. The coordinate plane has two axes: the horizontal and vertical axes. Similarly, on the \(y\)-axis the positive numbers run upwards, while the negative numbers run down. (One way of helping children to remember which of these. On the \(x\)-axis the positive numbers run to the right, while the negative numbers run to the left. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical). The intersection of the \(x\)-axis and \(y\)-axis divides the plane into four quadrants. Similarly, the perpendicular distance of a point from the \(x\)-axis is called the \(y\)-coordinate. ![]() The perpendicular distance of a point from the \(y\)-axis is called the \(x\)-coordinate. That is, the first number is the \(x\)-coordinate, and the second number is the \(y\)-coordinate. \((3, 5) \) is the location of a point having location \(3\) on the \(x\)-axis and location \(5 \) on the \(y\)-axis. In coordinate geometry, we use two coordinate axes (the \(x\)-axis and \(y\)-axis) to identify the location of any point. ![]()
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