हिंदी

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

Advertisements
Advertisements

प्रश्न

(Street Plan): A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.

All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.

There are many cross- streets in your model. A particular cross-street is made by two streets, one running in the North - South direction and another in the East - West direction. Each cross street is referred to in the following manner : If the 2nd street running in the North - South direction and 5th in the East - West direction meet at some crossing, then we will call this cross-street (2, 5). Using this convention, find:

  1. how many cross - streets can be referred to as (4, 3).
  2. how many cross - streets can be referred to as (3, 4).
लघु उत्तरीय
Advertisements

उत्तर

  1. Point A(4, 3) shows a unique cross street.
  2. A unique cross street is shown at point B(3, 4).

The two cross streets are uniquely found because of the two reference lines we have used to locate them.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Coordinate Geometry - EXERCISE 3.1 [पृष्ठ ४५]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 9
अध्याय 3 Coordinate Geometry
EXERCISE 3.1 | Q 2. | पृष्ठ ४५

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Name the quadrilateral formed, if any, by the following points, and given reasons for your answers:

A(4, 5) B(7, 6), C (4, 3), D(1, 2)


If three consecutive vertices of a parallelogram are (1, -2), (3, 6) and (5, 10), find its fourth vertex.


In what ratio is the line segment joining A(2, -3) and B(5, 6) divide by the x-axis? Also, find the coordinates of the pint of division.


Write the ratio in which the line segment doining the points A (3, −6), and B (5, 3) is divided by X-axis.


What is the distance between the points  \[A\left( \sin\theta - \cos\theta, 0 \right)\] and \[B\left( 0, \sin\theta + \cos\theta \right)\] ?

 
 

If the centroid of the triangle formed by (7, x) (y, −6) and (9, 10) is at (6, 3), then (x, y) =


If segment AB is parallel Y-axis and coordinates of A are (1, 3), then the coordinates of B are ______.


Seg AB is parallel to X-axis and coordinates of the point A are (1, 3), then the coordinates of the point B can be ______.


If the coordinate of point A on the number line is –1 and that of point B is 6, then find d(A, B).


A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. Historically, tessellations were used in ancient Rome and in Islamic art. You may find tessellation patterns on floors, walls, paintings etc. Shown below is a tiled floor in the archaeological Museum of Seville, made using squares, triangles and hexagons.

A craftsman thought of making a floor pattern after being inspired by the above design. To ensure accuracy in his work, he made the pattern on the Cartesian plane. He used regular octagons, squares and triangles for his floor tessellation pattern


Use the above figure to answer the questions that follow:

  1. What is the length of the line segment joining points B and F?
  2. The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
  3. What are the coordinates of the point on y-axis equidistant from A and G?
    OR
    What is the area of Trapezium AFGH?

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×