Match the following. Column-I Column-II (P) The area of ∆ O A B with O ( 0 , 0 ) , A ( 4 , 0 ) and B ( 0 , 8 ) is (i) 14 sq.units (Q) The area of ∆ A B C with A ( 2 , 0 ) , B ( 6 , 0 ) and C ( 4 , 6 ) is (ii) 16 sq.units (R) The area of ∆ O A B with O ( 0 , 0 ) , A ( 7 , 0 ) and B ( 0 , 4 ) is (iii) 12 sq.units

P → i i , Q → i i i , R → ( i )

P → i i , Q → i , R → ( i i i )

P → i i i , Q → i , R → ( i i )

P → i i i , Q → i i , R → ( i )

E M B I B E

IMO Olympiad Work Book 9>Chapter 3 - Coordinate Geometry>MATHEMATICAL REASONING>Q 14

EASY

9th Foundation

IMPORTANT

Earn 100

The difference between ordinates of $R$ and $Q$ is

50% studentsanswered this correctly

Important Questions on Coordinate Geometry

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 3 - Coordinate Geometry>MATHEMATICAL REASONING>Q 15

The area of the triangle formed by the points

P (0, 1), Q (0, 5)

and

R (3, 4)

is _____.

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 3 - Coordinate Geometry>MATHEMATICAL REASONING>Q 16

The perpendicular distance of the point

(- 7, 8)

from the

x

-axis is _____

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 3 - Coordinate Geometry>MATHEMATICAL REASONING>Q 17

The signs of the abscissa and ordinate of a point in the fourth quadrant respectively are ______.

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 3 - Coordinate Geometry>ACHIEVERS SECTION (HOTS)>Q 18

State ‘T’ for true and ‘F’ for false.
(i) Origin is the only point which lies on both the axes.
(ii) the point

(2, - 2)

and point

(- 2, - 2)

lies in the same quadrant.
(iii) A point lies on

y

-axis at a distance

2

units from

x

-axes then it’s coordinates are

(2, 0)

.
(iv) Abscissa of a point is positive in I quadrant and also in II quadrant.

	(i)	(ii)	(iii)	(iv)
(A)	F	T	F	T
(B)	T	F	F	F
(C)	F	T	T	F
(D)	T	F	T	F

EASY

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 3 - Coordinate Geometry>ACHIEVERS SECTION (HOTS)>Q 19

In the given figure, $P Q R S$ is a rhombus whose diagonal $P R$ and $Q S$ are along coordinate axis and $P R = 12$ units and $Q S = 6$ units. Now, if $T$ is a point which is $5$ spaces right and $2$ spaces above $S$ . Find
(i) Sum of abscissae of $P$ and $T$
(ii) sum of ordinates of $Q, R$ and $T$
Question Image

	(i)	(ii)
(A)	-1	2
(B)	1	-2
(C)	1	2
(D)	-1	-2

MEDIUM

9th Foundation

IMPORTANT

IMO Olympiad Work Book 9>Chapter 3 - Coordinate Geometry>ACHIEVERS SECTION (HOTS)>Q 20

Match the following.

Column-I	Column-II
(P) The area of $∆ O A B$ with $O (0, 0)$ , $A (4, 0)$ and $B (0, 8)$ is	(i) $14$ sq.units
(Q) The area of $∆ A B C$ with $A (2, 0)$ , $B (6, 0)$ and $C (4, 6)$ is	(ii) $16$ sq.units
(R) The area of $∆ O A B$ with $O (0, 0)$ , $A (7, 0)$ and $B (0, 4)$ is	(iii) $12$ sq.units