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>ACHIEVERS SECTION (HOTS)

Mahabir Singh Solutions for Chapter: Coordinate Geometry, Exercise 2: ACHIEVERS SECTION (HOTS)

Author:Mahabir Singh

Mahabir Singh Mathematics Solutions for Exercise - Mahabir Singh Solutions for Chapter: Coordinate Geometry, Exercise 2: ACHIEVERS SECTION (HOTS)

Attempt the free practice questions on Chapter 3: Coordinate Geometry, Exercise 2: ACHIEVERS SECTION (HOTS) with hints and solutions to strengthen your understanding. IMO Olympiad Work Book 9 solutions are prepared by Experienced Embibe Experts.

Questions from Mahabir Singh Solutions for Chapter: Coordinate Geometry, Exercise 2: ACHIEVERS SECTION (HOTS) with Hints & Solutions

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

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