![]() ![]() (c) If y-coordinate of a point is zero, then this point always lies on X-axis. If y-coordinate of a point is zero, then this point always lies So, it lies in III quadrant So, given points do not lie in the same quadrant. In point (-3, – 4) x-coordinate is negative and y-coordinate is negative. (d) In points (1, -1), (2, -2) and (4, -5) x-coordinate is positive and y-coordinate is negative, So, they all lie in IV quadrant. (c) A point both of whose coordinates are negative will lie in III quadrant because, in III quadrant x-coordinate and y-coordinate both are negative. (c) The point at which the two coordinate axes meet is called the origin.Ī point both of whose coordinates are negative will lie in (a) abscissa (b) ordinate (c) origin (d) quadrant The point at which the two coordinate axes meet is called the If point lies on X- axis, then the perpendicular distance of point from X- axis will be zero, so ordinate will be zero. Because ordinate (or y-coordinate) of a point is perpendicular distance of this point from the X-axis measured along the Y-axis. (a) Ordinate of all points on the X-axis is zero. (d) Abscissa of all the points on the X-axis is any number because X-axis is a number line which contains many real numbers on it. (a) In point (-10, 0) y-coordinate is zero, so it lies on X-axis and its x-coordinate is negative, so the point (-10, 0) lies on the X-axis in the negative direction.Ībscissa of all the points on the X-axis is (b) on the negative direction of the Y-axis (a) on the negative direction of the X-axis The point (0, – 7) lies on the Y-axis in the negative direction. (c) In point (0, -7) x-coordinate is zero, so it lies on Y-axis and y-coordinate is negative, so (d) If none of the coordinates is zero, then the point lies in any one of the four quadrants (c) If x-coordinate and y- coordinate are zero, then the point lies on origin (or on both the axes). (b) If y-coordinate is zero and x-coordinate is non-zero, then the point lies on X- axis. (a) If x-coordinate is zero and y-coordinate is non-zero, then the point lies on Y-axis. (i) Firstly, check whether any coordinate of point is zero or not. (c) on the Y-axis (d) in the fourth quadrant (a) on the X-axis (b) in the second quadrant So, sign of abscissa of a point is negative and sign of ordinate of a point is positive. (C) In second quadrant, X-axis is negative and Y-axis is positive. Signs of the abscissa and ordinate of a point in the second quadrant are respectively. ![]() ![]() So, the point lies in the second quadrant. (b) In point (-3, 5), x-coordinate is negative and y-coordinate is positive. (v) If x-coordinate has positive sign and y-coordinate has negative sign i.e., (+, -), then the point lies in fourth quadrant (iv) If both coordinate x and y has negative sing i.e, (-, -), then the point lies in third quadrant. (iii) If x-coordinate has negative sign and y-coordinate has positive sign i.e., (-, +), then the point lies in second quadrant. (ii) If both coordinates x and y has same positive sign i.e., (+, +), then the point lies in first quadrant. (i) Firstly, check the sign of each coordinate of a point. ![]()
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