Q. 35.0( 2 Votes )

Determine the quadrants and the coordinates of the points A, B, C, D, E, F, G, H and O in the given figure.


Answer :

If a point is left to the Y-axis then the x co-ordinate will be negative and similarly if a point if below X-axis its y co-ordinate will be negative


Point A


A is on the Y-axis implies x co-ordinate = 0


A is 4 units above X-axis implies y co=ordinate = 4


Therefore, co-ordinates of A are (0, 4)


Point B


B is 2 units above X-axis implies y = 2


B is 3 units left to the Y-axis implies x = -3


Therefore, co-ordinates of B are (-3, 2)


As from figure given B lies in the second quadrant


Point C


C lies on X-axis implies y = 0


C is 5 units to the left of Y-axis implies x = -5


Therefore, co-ordinates of C are (-5, 0)


Point D


D is 6 units below X-axis implies y = -6


D is 4 units to the left of Y-axis implies x = -4


Therefore, co-ordinates of D are (-6, -4)


As seen in figure D lies in 3rd quadrant


Point E


E is on the Y-axis implies x = 0


E is 3 units below X-axis implies y = -3


Therefore, co-ordinates of E are (0, -3)


Point F


F is 7 units to the right of Y-axis implies x = 7


F is 1 unit below X-axis implies y = -1


Therefore, co-ordinates of F are (7, -1)


As seen in figure F lies in 4th quadrant


Point G


G is on X-axis implies y = 0


G is 4 units to the right of Y-axis implies x = 4


Therefore, co-ordinates of G are (4, 0)


Point H


H is 6 units to the right of Y-axis implies x = 6


H is 3 units above X-axis implies y = 3


Therefore, co-ordinates of H are (6, 3)


As seen in figure H lies in 1st quadrant


Point O


O is at intersection of X-axis and Y-axis


Intersection of X and Y axis is (0, 0)


Therefore, co-ordinates of O are (0, 0)

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