Question

In which quadrant each of the point (-3,4),(0,4),(2,-3),(1,3),(3,-2),(-5,0) lie? verify your answer by locating them on yhe Cartesian plane.​

Answer 1

Step-by-step explanation:

Given :-

the points (-3,4),(0,4),(2,-3),(1,3),(3,-2),(-5,0)

To find :-

In which quadrant each of the point (-3,4),(0,4),(2,-3),(1,3),(3,-2),(-5,0) lie? verify your answer by locating them on yhe Cartesian plane.?

Solution :-

See the above attachment

Given points are:

a) (-3,4) lies in the second quadrant (Q2)

Since abscissa is negative and the ordinate is positive (-,+)

b) (0,4) lies on the y-axis

Since the abscissa is zero

c) (2,-3) lies in the fourth quadrant (Q4)

Since abscissa is positive and the ordinate is negative (+,-)

d) (1,3) lies in the first quadrant (Q1)

Since abscissa is positive and the ordinate is positive (+,+)

e) (3,-2) lies in the fourth quadrant (Q4)

Since abscissa is positive and the ordinate is negative (+,-)

f) (-5,0) lies on the x-axis

Since the ordinate is zero.

Answer :-

(-3,4) ---- Q2

(0,4) ------ Y -axis

(2,-3) ------ Q4

(1,3) -------- Q1

(3,-2) ------ Q4

(-5,0) ------- X-axis

Used formulae:-

• The equation of X -axis is y=0

• The equation of Y-axis is x=0

• If the point (x>0,y>0) then it lies in Q1.

• If the point (x<0,y>0) then it lies in Q2.

• If the point (x<0,y<0) then it lies in Q3.

• If the point (x>0,y<0) then it lies in Q4.

Points to know:-

• The Horizontal line is called X-axis and the Vertical line is called Y -axis in a plane.

• The intersection of X and Y axes is called the Origin and the Coordinates of the Origin is (0,0).

• Coordinate Geometry was introduced by Rene Descartes.

• XY -plane is also called Cartesian Plane.

• X and Y -axes divides the plane into four parts and each part is called Quadrants and they are denoted by Q1, Q2, Q3 and Q4.