Question

If x = 2, y = 3, u = -2, v = -3, then point (x + y, u + v) lies in the ___________ quadrant. (A) l (B) II (C) III (D) IV​

Answer 1

answer : B) II

process : X= 2 , y= 3

so ,(x+y) = 5

& u= -2 , v=-3

so (u+v) = -5

(X+y,u+v) = (5,-5 ) point lies in the 2nd quadrant

Answer 2

For x = 2, y = 3, u = - 2, v = - 3 the point (x + y, u + v) lies in the IV quadrant

Given :

x = 2, y = 3, u = - 2, v = - 3

To find :

For x = 2, y = 3, u = - 2, v = - 3 the point (x + y, u + v) lies in the _______ quadrant

(a) I

(b) II

(c) III

(d) IV

Concept :

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

Solution :

Step 1 of 2 :

Find the point

Here it is given that x = 2, y = 3, u = - 2, v = - 3

Now the point (x + y, u + v)

= ( 3 + 2 , - 2 - 3 )

= ( 5 , - 5 )

Step 2 of 2 :

Find the quadrant where the point lies

For the point (5, - 5)

x - coordinates = Abscissa = 5 which is positive

y - coordinate = Ordinate = - 5 which is negative

So the point lies on Quadrant IV

Hence the correct option is (d) IV

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