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Byju's Answer
Standard VII
Mathematics
Identifying Quadrants of an Ordered Pair
describes all...
Question
describes all the points with positive
x
-coordinate and negative
y
-coordinate.
A
Quadrant I
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B
Quadrant II
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C
Quadrant III
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D
Quadrant IV
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Solution
The correct option is
D
Quadrant IV
All the points with positive
x
-coordinate lie on the right of the
y
- axis.
All the points with negative
y
-coordinate lie below the
x
- axis.
∴
Quadrant IV satisfies these conditions as depicted below.
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Q.
x- coordinate is negative and y-coordinate is positive in ______.
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.
Q.
If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has
(a) x-coordinate 5
(b) y-coordinate = 5 only
(c) y-coordinate = ā 5 only
(d) y-coordinate = 5 or ā5