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• CBSE×
• Class 9×
• Mathematics×
• Coordinate Geometry×
• Cartesian Plane×

# Cartesian Plane Free Doubts and Solutions

## 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

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

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## 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

Asked by munnig1980 6th June 2019, 8:38 AM

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

Asked by Sharmavnsh 1st May 2019, 4:24 PM

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

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

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

Asked by gujarsurjeet007 12th February 2018, 11:45 AM

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## 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.

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

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

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

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## 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?

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

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## 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.

Asked by Topperlearning User 24th August 2017, 3:02 PM

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

Asked by Topperlearning User 24th August 2017, 2:58 PM

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

Asked by Topperlearning User 24th August 2017, 2:58 PM

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## 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)

Asked by Topperlearning User 24th August 2017, 2:56 PM

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

Asked by Topperlearning User 24th August 2017, 2:54 PM

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## 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.

Asked by Topperlearning User 24th August 2017, 2:51 PM

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

Asked by Topperlearning User 24th August 2017, 2:51 PM

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## 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?

Asked by Topperlearning User 24th August 2017, 2:49 PM

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

Asked by Topperlearning User 24th August 2017, 2:48 PM

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

Asked by Topperlearning User 24th August 2017, 2:48 PM

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## 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.

Asked by Topperlearning User 24th August 2017, 2:43 PM

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### CBSE - IX - Mathematics - Coordinate Geometry

Asked by Topperlearning User 24th August 2017, 2:42 PM

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## Define the following         A) Abscissa         B) Ordinate

Asked by Topperlearning User 24th August 2017, 2:40 PM

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

Asked by Topperlearning User 24th August 2017, 2:40 PM

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

Asked by Topperlearning User 24th August 2017, 2:39 PM

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

Asked by Topperlearning User 24th August 2017, 2:37 PM

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## 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?

Asked by Topperlearning User 24th August 2017, 2:37 PM

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## 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

Asked by Topperlearning User 24th August 2017, 2:36 PM

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

Asked by Topperlearning User 24th August 2017, 2:33 PM

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## 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)

Asked by Topperlearning User 24th August 2017, 2:32 PM

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### CBSE - IX - Mathematics - Coordinate Geometry

Asked by Topperlearning User 24th August 2017, 2:31 PM

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## 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...??

Asked by Harshita Singh 17th October 2015, 1:21 PM

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

Asked by my3shyll 26th July 2015, 10:59 AM

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

Asked by my3shyll 25th July 2015, 7:58 PM

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

Asked by araima2001 28th August 2014, 4:42 PM

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

Asked by Topperlearning User 25th June 2014, 1:53 PM

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

Asked by Topperlearning User 5th June 2014, 3:41 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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?

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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)

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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.

Asked by Topperlearning User 4th June 2014, 1:23 PM

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## 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?

Asked by Amyra B 18th June 2013, 7:45 PM