Question

Line x + y = 2 passes through the _______ quadrants.(a) 1st and 3rd both
(b) 2nd and 3rd(c) 3rd and 4th both
(d) 1st, 2nd and 4th all

Answer 1

Answer:

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Answer 2

1st, 2nd and 4th quadrants

Step-by-step explanation:

Given x + y = 2

So y = 2-x

Let's take some co-ordinates to check the graph. We will take both negative and positive values.

Let x be 3, 5, -1, -4, 1

Then y will be -1, -3, 3, 6, 1

So the co-ordinates will be (3, -1), (5,-3), (-1,3), (-4,6) and (1, 1)

If we plot a graph and join the above co-ordinates, the line will pass through the quadrant II, quadrant I and quadrant IV.  

 

(3, -1), (5,-3) lies in quadrant IV

(1, 1) lies in quadrant I

(-1,3), (-4,6) lies in quadrant II

Please refer to the picture to know where the quadrants lie.