# Cartesian Plane Free Doubts and Solutions

### CBSE - IX - Mathematics - Coordinate Geometry

## Three vertices of a rectangle ABCD are A(3,2), B(-4,2) and C(-4,5).Plot these points in the Cartesian plane and find the fourth vertex

**shailesh.raut0407**11th June 2019, 3:48 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the point P(2,-3)on the graph paper and from it draw PM and perpendicular to the xaxis and the y axis respectively write the coordinates of points M and N

**munnig1980**6th June 2019, 8:38 AM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the point a(1, 3), b(-1, -1) c(-2, -3) and check the whether they are colinear

**Sharmavnsh**1st May 2019, 4:24 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## If we draw lines of x = 2 and y = 3 what kind of lines do we get?

**manasvi.gopani**20th February 2018, 8:38 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Find the perimeter of a triangle whose vertices are (0,4),(3,0) and (-3,0).

**gujarsurjeet007**12th February 2018, 11:45 AM

### CBSE - IX - Mathematics - Coordinate Geometry

## Coordinates of points are A(5,0), B(6,5),C(9,12),D(-6,9). Find the area of the quadrilateral ABCD.Draw the diagonal AC and find the area of both the triangles so obtained.

**aahnik.mohanty**31st December 2017, 12:52 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## 1. ABC is a triangle.Coordinates of vertices are
A(4,0),C(8,5). Find the coordinates of vertice B.

**aahnik.mohanty**31st December 2017, 12:48 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Ram an Sita both started from a point towards north. Seeta turns left after walking 10kms. Ram turns to right after walking the same distance. Seeta waits for some time and then walks another 5kms whereas Ram walks only 3kms. Then both of them return to their respective souths and walk 15kms forward. How far is Ram from SIta?

**aahnik.mohanty**14th November 2017, 7:53 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In the given (i) Write the x-coordinates and the y-coordinates of the points P , Q, R. (ii) The coordinates of point S (iii) Find the abscissa of the point T (iv) Find the point whose coordinates are ( 5, 3) (v) Find the ordinates of points P and R.

**Topperlearning User**24th August 2017, 3:02 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Graphically find the coordinates of the point of intersection of perpendiculars drawn from (3,0) and (0,7).

**Topperlearning User**24th August 2017, 2:58 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## What would be the coordinates of the foot of perpendicular drawn from (3,2) on y-axis?

**Topperlearning User**24th August 2017, 2:58 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## By plotting, show that following pair of points are the two distinct points on the Cartesian plane. (i) (3,2) and (2,3)(ii) (5,-1) and (5,1)

**Topperlearning User**24th August 2017, 2:56 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Find the area of the triangle formed by (0,4),(0,0),(3,0).

**Topperlearning User**24th August 2017, 2:54 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## A car starts from the center of city and in each consecutive hour it covers a distance of 20km (along north), 16 km (along east), 24 km (along south) and 20 km (along west) respectively. Assuming the centre of city to be the origin, north-south direction is along y axis and west-east direction is along x axis; show the various position of the car on the Cartesian plane. Also, find how far is the car from x and y axis respectively at its final position.

**Topperlearning User**24th August 2017, 2:51 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## What would be the reflection of (1,2) in IV quadrant?

**Topperlearning User**24th August 2017, 2:51 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Ram, Shyam and Anil are three friends standing at three different positions. Ram and Anil are in opposite direction but are at equal distance from Shyam. Shyam is at origin and position of Ram is (0,8). If the abscissa of position of Anil is 0, then what are the coordinates of Anil's position?

**Topperlearning User**24th August 2017, 2:49 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Which of the following points do not lie on the line 3y = 6 - 2x.(i) (3,0)(ii) (2,2)(iii) (0,2)

**Topperlearning User**24th August 2017, 2:48 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Find the area of a square the coordinates of whose vertices are (0,0), (2,0), (2,2) and (0,2).

**Topperlearning User**24th August 2017, 2:48 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Write the coordinates of the vertices of a rectangle whose length and breadth are 6 and 4 units respectively. Its one vertex is at the origin, longer side lies on the x-axis and one of the vertices lies in the third quadrant.

**Topperlearning User**24th August 2017, 2:43 PM

### CBSE - IX - Mathematics - Coordinate Geometry

**Topperlearning User**24th August 2017, 2:42 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Define the following A) Abscissa B) Ordinate

**Topperlearning User**24th August 2017, 2:40 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Where do the following point lie on the axis? (A) (-6,0)(B) (6,0)(C) (0,-6)(D) (0,6)

**Topperlearning User**24th August 2017, 2:40 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Where do the following points lie:(A) (-4,0)(B) (-10,2)(C) (0,8)(D) (10,4)

**Topperlearning User**24th August 2017, 2:39 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## (A) Find the coordinates of the points P, Q, R, S (B) Write the abscissa of P and ordinate of R .

**Topperlearning User**24th August 2017, 2:37 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Anju suggested a sketch plan to construct a lawn in her school playground by marking four points (-1,0) (1,0) (1,2) (-1,2) on a graph paper and also suggesting to plant a tree in the centre of the lawn. Plot these points on the graph paper and specify the type of the shape of the lawn suggested by Anju. Also, find the coordinates of the place where the tree is to be planted. What value is indicated from this action?

**Topperlearning User**24th August 2017, 2:37 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Using the graph given below, find the following : (i) Abssica of P (ii) Ordinate of Q(iii) Coordinate of V(iv) Point on X axis(v) Point of Y axis (vi) Point in I quadrant(vii) Point in II quadrant(viii) Point in III quadrant(ix) Point in IV quadrant

**Topperlearning User**24th August 2017, 2:36 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In which quadrant do the following points lie?(i) (-3,2)(ii) (-x,-y)(iii) (x,y)(iv) (4,-y)

**Topperlearning User**24th August 2017, 2:33 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the following order pairs in the Cartesian plane.(i) A ( 2, 3) (ii ) B ( 3, -5) (iii) C ( -4, 5) (iv) D ( -1, -3)

**Topperlearning User**24th August 2017, 2:32 PM

### CBSE - IX - Mathematics - Coordinate Geometry

**Topperlearning User**24th August 2017, 2:31 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Triangle ABC has vertices A(0,1),B(-3,0)and C(1,0).If ad is median and G is centroid,then the lenght of AG is...??

**Harshita Singh**17th October 2015, 1:21 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## what is the perpendicular distance of a point(-2,-3)from the y-axis

**my3shyll**26th July 2015, 10:59 AM

### CBSE - IX - Mathematics - Coordinate Geometry

## find the maximumnumber of points when 4 lines are intersecting in a plane?and how

**my3shyll**25th July 2015, 7:58 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## activity based on to plot the ordered pair of the graph & name the area bounded by these points

**araima2001**28th August 2014, 4:42 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Draw a quadrilateral whose vertices are (3,2), (2,3), (-4,5) and (5,-3).

**Topperlearning User**25th June 2014, 1:53 PM

### CBSE - IX - Mathematics - Coordinate Geometry

In figure, and are equilateral triangle. Find coordinates of point C and D.

**Topperlearning User**5th June 2014, 3:41 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In fig., ABCD is a rectangle with length 6 cm and breadth 3 cm. O is the mid-point of AB. Find the coordinates of A, B, C and D.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In figure, AOB is a triangle with coordinates of A and O as (4,0) and (0,0). If AB = 5, find the coordinates of B.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In which quadrant do the given points lie? (a) (2, -1) (b) (-1, 7) (c) (-2, -3) (d) (4, 5)

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Mark the points (2,2), (2, -2), (-2,-2) and (-2,2) on a graph paper and join these points. Name the figure that you obtain. Also, find the area of the figure so obtained.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## The perpendicular distance of a point from the x - axis is 4 units and the perpendicular distance from the y - axis is 5 units. Write the coordinates of such a point if it lies in the (i) I Quadrant (ii) II Quadrant (iiii) III Quadrant (iv) IV Quadrant

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the points O(0,0), B(16,0), C(16,12) on the graph paper. Join points O, B and C. Name the figure.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the point P(2,-6) on graph paper and from it draw PM and PN as perpendicular to x - axis and y - axis, respectively. Write the coordinates of the points M and N.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the points A (3,0), B (3,3) and C (0,3) in a Cartesian plane. Join OA, AB, BC and CO, where O represents the origin. Name the figure so formed and write its one property.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## A point lies on x-axis at a distance of 9 units from y-axis. What are its coordinates? What will be its coordinates if it lies on y axis at a distance of -9 units from x-axis?

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the points (3,2), (-2,2), (-2,-2) and (3,-2) in the Cartesian plane. Join these points and name the figure so formed.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In the figure, is an equilateral triangle with coordinates of vertices B and C as (-4, 0) and (4, 0) respectively. Find the coordinates of the point A

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## The following table gives the number of pairs of shoes and their corresponding price. Plot these as ordered pairs and join them. What type of graph do you get? Number of pairs of shoes 1 2 3 4 5 6 Corresponding prices (in hundred or rupees) 5 10 15 20 25 30

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Locate the following points in the Cartesian plane: A(3,0), B(0,5), C(-3,-5) and D(2,4).

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## The following table gives the number of pens and their corresponding costs. Plot these as ordered pairs and join them. What type of graph do you get? Number of Pens 1 2 4 5 7 8 Price in rupees 3 6 12 15 21 24

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Which of the following points lie on x-axis? Which on y-axis? A(0,2), B(5,6), C(-3,0), D(0,-3), E(0,4), F(6,0), G(3,0)

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In figure, ABC is an equilateral triangle with co-ordinate of B and C as (1,0), (5,0). Find the co-ordinate of vertex A.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## In figure, ABCD is a square. Find the co-ordinates of point A and D.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Plot the points (2,3) (-2,3) (-2,-3) and (2,-3) on a graph sheet. Join these points. Name the figure obtained. Also, find the area of the figure so obtained.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 3 units. Write the co-ordinates of the point if it lies in the: (i) I Quadrant (ii) II Quadrant (iii) III Quadrant (iv) IV Quadrant

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## Observe figure, and answer the following: (A) co-ordinate of B. (B) Point identified by the co-ordinates (-2, -3). (C) Abscissa of point D. (D) Ordinate of point H. (E) Points with same abscissa. (F) Points with same ordinate.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Coordinate Geometry

## the lines 2(x+3)=3(x+9) and y(a+1)=2(y-5) is a) parallel b) perpendicular c)both parallel to x-axis or d)both parallel to y-axis.And why?

**Amyra B**18th June 2013, 7:45 PM