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

Write the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane.

Important Questions on Coordinate Geometry

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

The foot of the perpendicular from

P (- 3, 2)

to the

y -

axis is

M

then, co-ordinates of

M

are

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

Point

Q (- 3, - 4)

lies in which quadrant ?

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

Study the graph and answer the following questions.
Question Image

Sum of the abscissae of point P and R is ____________.

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

(2, 1)

is a point which belongs to the line ______.

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

Question Image

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

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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>Coordinate Geometry>Cartesian System

The perpendicular distance of the point

(- 7, 8)

from the

x

-axis is _____

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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

Mathematics>Geometry>Coordinate Geometry>Cartesian System

(x + 3,5) = (2, 2 - y)

then the values of the

x

and

y

respectively are

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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>Coordinate Geometry>Cartesian System

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

y = 2 x - 1

is ________.

EASY

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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

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

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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>Coordinate Geometry>Cartesian System

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>Coordinate Geometry>Cartesian System

The area of the triangle formed by the points

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

and

R (3, 4)

is _____.

MEDIUM

Mathematics>Geometry>Coordinate Geometry>Cartesian System

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

Write the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane.

Important Questions on Coordinate Geometry

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