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Points on a Cartesian Plane

In the x-y co...

Question

In the x-y coordinate system point (-8, 1) lies in which quadrant?

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Solution

The terminal arm passes through $(- 8, 1)$ .

The point is of the form, $(x, y)$ . Here, $x$ is negative and $y$ is positive, which lies in II quadrant.

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Q. In the x-y coordinate system point (-3, -3) lies in which quadrant?

(3, 5)

lies in which quadrant in the Cartesian coordinate plane?

Suppose you are given a coordinate system. Determine the quadrant in which the following points lie:

(i) A(4, 5); (ii) B(−4, −5); (iii) C(4, −5).

Q. Question 1
Point (-3, 5 ) lies in the

A) First quadrant
B) Second quadrant
C) Third quadrant
D) Fourth quadrant

Thinking process
(i) Firstly, check the sign of each coordinate of a point.
(ii) If both coordinates x and y has the same positive sign, i.e(+ .+), then the point lies in the first quadrant.
(iii) If x coordinate has the negative sign and y-coordinate has positive sign i.e( -, +), then the point lies in the second quadrant.
(iv) if both coordinate x and y has negative sign i.e ( -, -) then the point lies in the third quadrant.
(v) if x coordinate has a positive sign and y-coordinate has negative sign i.e (+, -), then the point lies in the fourth quadrant.

P

has coordinates

(7, 10)

in a coordinate system

X^{'} O X \leftrightarrow Y^{'} O Y

. Suppose it has coordinates

(10, 7)

in another coordinate system

X_{1}^{'} O_{1} X_{1} \leftrightarrow Y_{1}^{'} O_{1} Y_{1}

X^{'} O X \leftrightarrow X_{1}^{'} O_{1} X_{1}

. Find the coordinates of

O_{1}

X^{'} O X \leftrightarrow Y^{'} O Y

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