Question

If x > 0 and y > 0, then the point (x, y) lies in which quadrant? ​

Answer 1

$\large{\underline{\underline{\red{\tt{\purple{\leadsto } AnsweR:-}}}}}$

Given that x > 0 and y is also > 0 .

This implies that both x and y are positive . So , we know that x and y are positive in the first quadrant . Therefore x and y lie in the $\bf First\: quadrant$ .

${\underline{\purple{\sf{\red{\dag } \:MorE\:To\:KnoW:-}}}}$

➤There are four quadrants.

➤Numbering of quadrants is done in anticlockwise direction.

➤Both x-coordinate and y- coordinate are positive in first quadrant.

➤y - coordinate is positive in second quadrant and x - coordinate is negative in second quadrant.

➤Both x co-ordinate and y co-ordinate are the negative in third quadrant.

➤x co-ordinate is positive in 4th quadrant but why co-ordinate is negative in fourth quadrant.

➤There are two axis x axis and y axis.

➤ The point of intersection of both the axis is known as origin.

➤ The coordinates of origin are ( 0 , 0 )

➤ Co - ordinates on left side of x axis is taken as negative whereas the coordinates coordinates on the right side of the origin on the x axis are positive.

Answer 2

SOLUTION

TO DETERMINE

If x > 0 and y > 0, then the point (x, y) lies in which quadrant?

EVALUATION

We know that in two dimensional geometry the Cartesian plane is divided by coordinate axis in 4 quadrant

1. Quadrant I : Both the x - coordinates and y - coordinates are positive

2. Quadrant II : The x - coordinate is negative and the y - coordinate is positive

3. Quadrant III : Both the x - coordinates and y - coordinates are negative

4. Quadrant IV : The x - coordinate is positive and the y - coordinate is negative

Here the given point (x, y)

x - coordinates = x

y - coordinates = y

Now it is given that x > 0 and y > 0

Since Both the x - coordinates and y - coordinates are positive

Hence the point lies on first quadrant ( Quadrant I )

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ locate the following points on the cartesian plane(aEr) (0,a),(a,0),(-a, 0),(0,-a)...

https://brainly.in/question/26822338

2. Distance of a point A(-2,0) from x-axis is _______ units.

https://brainly.in/question/28760447