Questions & Answers: "Coordinate Geometry"
Complete guide to "Coordinate Geometry" for Math students. Below you will find important questions and model answers to help you prepare.
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Exemplar
25 QuestionsThe points (other than origin) for which abscissa is equal to the ordinate will lie in
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I quadrant only
I and II quadrants
I and III quadrants
II and IV quadrants
Point (–3, 5) lies in the
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first quadrant
second quadrant
third quadrant
fourth quadrant
Signs of the abscissa and ordinate of a point in the second quadrant are respectively
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+, +
–, –
–, +
+, –
Point (0, –7) lies
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on the x –axis
in the second quadrant
on the y-axis
in the fourth quadrant
Point (– 10, 0) lies
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on the negative direction of the x-axis
on the negative direction of the y-axis
in the third quadrant
in the fourth quadrant
Abscissa of all the points on the x-axis is
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0
1
2
any number
Ordinate of all points on the x-axis is
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Zero
1
-1
any number
The point at which the two coordinate axes meet is called the
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abscissa
ordinate
origin
quadrant
A point both of whose coordinates are negative will lie in
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I quadrant
II quadrant
III quadrant
IV quadrant
Points (1, – 1), (2, – 2), (4, – 5), (– 3, – 4)
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lie in II quadrant
lie in III quadrant
lie in IV quadrant
do not lie in the same quadrant
If y coordinate of a point is zero, then this point always lies
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in I quadrant
in II quadrant
on x - axis
on y - axis
The points (–5, 2) and (2, – 5) lie in the
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same quadrant
II and III quadrants, respectively
II and IV quadrants, respectively
IV and II quadrants, respectively
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
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x coordinate = – 5
y coordinate = 5 only
y coordinate = – 5 only
y coordinate = 5 or –5
On plotting the points O (0, 0), A (3, 0), B (3, 4), C (0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
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Square
Rectangle
Trapezium
Rhombus
If P (– 1, 1), Q (3, – 4), R(1, –1), S(–2, –3) and T (– 4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are
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P and T
Q and R
Only S
P and R
If the coordinates of the two points are P (–2, 3) and Q (-3, 5), then (abscissa of P) – (abscissa of Q) is
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–5
1
-1
-2
If P (5, 1), Q (8, 0), R (0, 4), S (0, 5) and O (0, 0) are plotted on the graph paper, then the point(s) on the x-axis are
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P and R
R and S
Only Q
Q and O
Abscissa of a point is positive in
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I and II quadrants
I and IV quadrants
I quadrant only
II quadrant only
The points whose abscissa and ordinate have different signs will lie in
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I and II quadrants
II and III quadrants
I and III quadrants
II and IV quadrants
The point whose ordinate is 4 and which lies on y-axis is
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(4, 0)
(0, 4)
(1, 4)
(4, 2)
Which of the points P (0, 3), Q (1, 0), R (0, – 1), S (–5, 0), T (1, 2) do not lie on the x-axis?
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P and R only
Q and S only
P, R and T
Q, S and T
The point which lies on y-axis at a distance of 5 units in the negative direction of y-axis is
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(0, 5)
(5, 0)
(0, –5)
(–5, 0)