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 )

EASY

Earn 100

Define coordinate system and explain the reference point in the coordinate system.

Important Questions on Cartesian Plane

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

The foot of the perpendicular from

P (- 3, 2)

to the

y -

axis is

M

then, co-ordinates of

M

are

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

Point

Q (- 3, - 4)

lies in which quadrant ?

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

$A (0, 0); B (2, 0); C (0, - 2)$ are the vertices of a _____ triangle.

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

Two points having same abscissa, but different ordinates lie on _____

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

The linear equation

y = 2 x + 3

cuts the

y

-axis at _____

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

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

MEDIUM

Mathematics>Geometry>Cartesian Plane>Concept of Graph

In which quadrant points lie $A (2, 3), B (- 3, 1), C (- 3, - 3)$

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

Question Image

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

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

The locus of s of the centre of all circles of given radius 'r', in the same plane and passing through a fixed point is :

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

The perpendicular distance of the point

(- 7, 8)

from the

x

-axis is _____

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

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

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

One set of ordered pair which belongs to a straight line represented by an equation

y = 2 x - 1

is ________.

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

The area of the triangle formed by the points

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

and

R (3, 4)

is _____.

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

The value of ‘

x

’ in the ordered pair

(x, - 8)

if the ordinate of the pair is

4

more than the abscissa is ______.

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

A flat surface which extends indefinitely in all directions is called ___________ .

MEDIUM

Mathematics>Geometry>Cartesian Plane>Concept of Graph

Plot the point $(x, y)$ given in the following table on the plane, choosing suitable units of distance on the axis.

$x$	$- 2$	$- 1$	$0$	$1$	$3$
$y$	$8$	$7$	$- 1.25$	$3$	$- 1$

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

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

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

(2, 1)

is a point which belongs to the line ______.

MEDIUM

Mathematics>Geometry>Cartesian Plane>Concept of Graph

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

EASY

Mathematics>Geometry>Cartesian Plane>Concept of Graph

The coordinates of a point on the x-axis of the form are ....

Define coordinate system and explain the reference point in the coordinate system.

Important Questions on Cartesian Plane

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