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Chap 3 : Coordinate Geometry www.cbse.online
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Objective Questions CCHAPTER HAPTER 33
CLASS : 9 th
SUB : Maths
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Coordinate Geometry
1. OBJECTIVE QUESTIONS 6. A point lies on negative side of x-axis. Its distance
from origin is 10 units. The coordinates of the point
are
(a) (b)
10,0 -10,0
1. Point lies in the ^h ^h
-23,
^h (c) (d)
01, 0 01, 0
-
(a) first quadrant (b) second quadrant ^h ^h
Ans : (b) -10,0
(c) third quadrant (d) fourth quadrant ^h
Ans : (b) second quadrant The required points is -10,0 .
^h
Since -coordinate of is negative and
x -23, y
^h 7. A point whose abscissa is -3 and ordinate is 2 lies in
-23,
^h
-coordinate is positive. Point lies in the Ii
quadrant. (a) first quadrant (b) second quadrant
(c) third quadrant (d) fourth quadrant
2. Point lies
02,
-
^h Ans : (b) second quadrant
(a) on the -axis
x Since the abscissa is negative and the ordinate is
(b) in the second quadrant positive. So, the point lies in second quadrant.
(c) on the -axis
y
(d) none of these 8. In which quadrant will lie?
-34,
^h
Ans : (c) on the y-axis (a) I quadrant (b) II quadrant
Since -coordinate of is zero. (c) III quadrant (d) IV quadrant
x 02,
-
^h Ans : (b) II quadrant
lies on the -axis.
02, y
-
^h
Since, -coordinate of is negative and
x -34, y
3. Point lies ^h
-20,
^h -coordinate is positive.
(a) on the negative part of the x-axis Point lies in II quadrant.
-34,
(b) on the negative part of the y-axis ^h
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(d) in the fourth quadrant 9. a point whose abscissa and ordinate are 2 and -5
Ans : (a) on the negative part of the x-axis respectively, lies in
Since -coordinate of is negative and (a) first quadrant (b) second quadrant
x -20, y
^h (c) third quadrant (d) fourth quadrant
-coordinate is zero point lies on negative part
-20,
of the x-axis. ^h
Ans : (d) fourth quadrant
4. Abscissa of is Since the abscissa is positive and the ordinate is
23,
^h negative. So, the point lies in fourth quadrant.
(a) -2 (b) 3
(c) 2 (d) none of these 10. The abscissa of a point is -7 and the ordinate is 2,
Ans : (c) 2 then the point is
(a) (b)
(,27) (,72)
In the ordered pair xy, , x is the abscissa and y is - -
^h (c) (d)
(,27) (,72)
the ordinate. - -
Ans : (b) (,72)
In , abscissa is 2. -
23,
^h
As for point represents abscissa and
(,xy),x y
5. If pa,b lies in II quadrant then which of the following
^h represents ordinate
is true about and ?
a b
(a) (b)
ab>>00, ab><00, 11. The point (0, 5) lies
(c) (d)
ab<>00, ab<<00, (a) on the -axis (b) on the -axis
x y
Ans : (c) (c) in the IInd quadrant (d) in the Ist quadrant
ab<>00,
In second quadrant, abscissa is negative and ordinate Ans : (b) on the y-axis
is a positive number.
& a <>00,b 12. Plot on the graph paper. Reflections of
D 23,
--
^h
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Chap 3 : Coordinate Geometry www.rava.org.in
in -axis and -axis respectively are 16. In how many parts does the axes divide the plane?
D 23, x y
--
^h (a) 1 part (b) 2 parts
(a) and (b) and
23, 23, 23, 23,
- -- -- -
^h^h^h^h
(c) and (d) None of these (c) 3 parts (d) 4 parts
23, -23,
^h ^h
Ans : (d) None of these Ans : (d) 4 parts
Reflection of in -axis is l and Axes divide the plane in 4 parts. Each part is called
D 23, x D 23,
-- -
^h m^h quadrant.
reflection of in -axis is .
D 23, y D 23,
-- -
^h ^h
ab,
^h
17. If and , then the point lies in
a > 0 b < 0 P
(a) IV quadrant (b) II quadrant
(c) III quadrant (d) I quadrant
Ans : (a) IV quadrant
Since the x-coordinate of point Pa,b is positive and
^h
13. Abscissa of a point is positive in y-coordinate is negative. So, the point P lies in IV
(a) I quadrant only (b) II quadrant only quadrant.
(c) I and II quadrants (d) I and IV quadrants 18. Point lies
03,
Ans : (d) I and IV quadrants ^h
(a) on -axis (b) on -axis
x y
Points with abscissa positive are of the form , and (c) in I quadrant (d) at origin
++
^h
, . They lie in I and IV quadrants respectively.
+-
^h Ans : (b) on y-axis
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14. If side of the square is units, then
OABC 2b
coordinates of B are
lies on -axis.
03, y
^h
19. Image of point about -axis is
03, x
^h
(a) (b)
-30, 03,
(a) (b) ^h ^h
20b, 02, b
^h ^h (c) (d)
03, 00,
-
(c) (d) ^h ^h
22bb, 00,
^h ^h Ans : (c) 03,
-
Ans : (c) 22bb, ^h
^h
15. If perpendicular distance of a point P from the x-axis
be 3 units along the negative direction of the y-axis,
then the point P has
(a) coordinate (b) -coordinate
x =-3 y =-3
(c) y-coordinate= 3 (d) none of these
Ans : (b) y-coordinate=-3
Image of point about -axis is l .
P 03, x P 03,
-
^h ^h
20. The point for which the abscissa and ordinate have
Point P has y-coordinate =-3. same signs will lie in
(a) I and II quadrants (b) I and III quadrants
(c) I and IV quadrants (d) III and IV quadrants
Ans : (b) I and III quadrants
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Abscissa and ordinate have same sign in I and III Perpendicular distance from the y-axis is 3 units.
quadrants.
25. The three vertices of a square are ,
ABCD A 32,
21. The distance of the point from -axis is ^h
(,52) x
- and . Find the coordinates of
B 22, D 33, C
- -
(a) 5 (b) 2 ^h^h
- and the area of square ABCD.
(c) 3 (d) 4 (a) , 5 sq. units
C 23,
--
^h
Ans : (b) -2 (b) , 5 sq. units
C 33,
-
^h
(c) , 25 sq. units
C 32,
^h
(d) , 25 sq. units
C 23,
--
22. The diagram shows two points, M and N on a ^h
Cartesian plane. Ans : (d) , 25 sq. units
C 23,
--
^h
Here, , and are the three
A 32, B 22, D 33,
- -
^h^h ^h
vertices of square ABCD.
The abscissa of M and ordinate of N are
(a) 3, 2 (b) 5, 1
(c) 1, 1 (d) 3, 5
Ans : (c) 1, 1
Clearly, abscissa of abscissa of ,
13, C = B =-2
Coordinates of =^h
M
Ordinate of ordinate of .
Coordinates of C = D =-3
N = 51,
^h Coordinates of are .
C 23,
--
So, abscissa of M and ordinate of N are 1 and 1 ^h
units.
CD = 23=5
+
respectively. ^h
Area of square sq. units.
ABCD ==5525
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26. In the ordered pair a,-12 , if the second member of
23. Signs of the coordinates of a point in the III quadrant ^h
are the pair is 4 times more than the first member, then
the missing member is
(a) (b) ''a
, ,
++ -+
^h ^h (a) (b)
-3 -12
(c) (d)
, ,
+- --
^h ^h (c) -24 (d) 3
Ans : (d) ,
--
^h Ans : (a) -3
We have, -12 =4#a
a =-3
27. What would be the coordinates of point S for points
and to form a parallelogram?
PQ,,R S
In third quadrant, the sign of the coordinates are
, .
--
^h
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24. If the coordinates of the point are then the
P 35,
-
^h
perpendicular distance of P from the y-axis.
(a) 4 (b) 5
(c) 3 (d) 2
Ans : (c) 3 (a) (b)
42, 21,
-
^h ^h
(c) (d)
42, 31,
- -
Since, the abscissa is 3. ^h ^h
Ans : (b) 21,
-
^h
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Let the coordinates of point are . Since, 5. If the point lies in the second quadrant, then
S xy, PQRS (,xy) x
^h
is a parallelogram. So, ordinate of S must be equal to is .......... and y is ..........
ordinate of P. Ans : Negative, Positive
y =-1
Again, since PQRS is a parallelogram. 6. If represents a point and , then the point
(,xy) xy > 0
PS =QR may lie in .......... or .......... quadrant.
units Ans : the first or third quadrant
x 1 = 41=3
-- -
^h^h
x+1 =3 Download All PDF fi les from www.rava.org.in.
x =2
Hence, coordinates of are .
S 21,
-
^h 3. TRUE/FALSE
28. In which quadrant abscissa is negative and ordinate DIRECTION : Read the following statements and write your
is positive?
(a) II (b) III answer as true or false.
(c) I (d) IV
Ans : (a) II 1. The ordinate of a point is its x-co-ordinate.
Ans : False
Coordinates in the II quadrant are of the form ,
-+
^h
2. The point lies in the third quadrant.
(,45)
29. The distance of the point (3, 4) from y-axis is -
(a) 1 (b) 4 Ans : False
(c) 2 (d) 3
3. The point lies on -axis if .
Ans : (d) 3 (,ab) y b = 0
Ans : False
4. The origin lies in the first quadrant.
Ans : False
5. The point lies on the -axis.
(,11) x
--
Ans : False
6. If the ordinate of a point is equal to its abscissa, then
Hence, distance from y - axis the point lies either in the first quadrant or in the
Coordinate of axis of point second quadrant.
= x- =3 Ans : False
2. FILL IN THE BLANK 7. The point lies below the -axis.
(,32) x
-
DIRECTION : Complete the following statements with an Ans : True
appropriate word/term to be filled in the blank space(s).
8. The y-axis is the vertical number line.
1. Abscissa of a point is positive in .......... and .......... Ans : True
quadrants.
Ans : first and fourth 9. The point lies below the -axis.
(,12) x
-
Ans : False
2. A point both of whose coordinates are negative will lie
in .......... quadrants. 10. Every point is located in one of the four quadrant.
Ans : third Ans : False
3. The -coordinate of every point on the -axis is ..........
y x 11. The point lies on the -axis.
(,20) y
-
Ans : 0 Ans : False
4. If and , then the point lies in
x > 0 y < 0 (,xy)
- 12. The point lies on the -axis.
(,04) y
.......... quadrant. -
Ans : First Ans : True
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