NCERT Class 9 Solutions: Coordinate Geometry (Chapter 3) Exercise 3.2 – Part 1

Download PDF of This Page (Size: 197K) ↧

Give coordinate Geometry,it is plotting point,lines and curve on X and y

Give Coordinate Geometry

Give coordinate Geometry,it is plotting point,lines and curve on X and y

The definition of coordinate geometry is the study of algebraic equations on graphs. An example application of coordinate geometry is plotting points, lines and curves on a coordinate place with x and y axis.

Q-1 Write the answer of each of the following question:

  1. What is the name of horizontal and vertical line drawn to determine the position of any point in the Cartesian plane?

  2. What is the name of each part of the plane formed by these two lines?

  3. Write the name of the point where these two lines intersect.

Solution:

Image dipicting components of a cartisian plane

Image of a Cartisian Plane

Image dipicting components of a cartisian plane

  1. The name of horizontal lines and vertical lines drawn to determine the position of any point in the Cartesian plane is x-axis and y axis respectively.

  2. The name of each part of the plane formed by these two lines x-axis and y-axis is called as quadrants (one fourth part)

  3. Name of the point where there two lines intersect is called as origin.

Q-2 See Fig. and write the following:

Give x-axis and y-axis.Right side of x-axis is denoted by possitive side and left side denoted negative side.And y-axis above positive number and bellow negative number.

Give X-Axis and Y-Axis

Give x-axis and y-axis.Right side of x-axis is denoted by possitive side and left side denoted negative side.And y-axis above positive number and bellow negative number.

  1. The coordinates of B.

  2. The coordinates of C.

  3. The point identified by the coordinates

  4. The point identified by the coordinates .

  5. The abscissa of the point D.

  6. The ordinate of the point H.

  7. The coordinate of the point L.

  8. The coordinate of the point M.

Solution:

  1. The x-coordinate and the y-coordinate of point B are −5 and 2 respectively.

    Therefore, the coordinates of point B are

  2. The x-coordinate and the y-coordinate of point C are 5 and −5 respectively.

    Therefore, the coordinates of point C are

  3. The point whose x-coordinate and y-coordinate are −3 and −5 respectively is point E.

  4. The point whose x-coordinate and y-coordinate are 2 and −4 respectively is point G.

  5. The x-coordinate of point D is 6.

    Image discribing the abscissa and ordinate of a point A

    Abscissa and Ordinate

    Image discribing the abscissa and ordinate of a point A

    Therefore, the abscissa of point D is 6. Abscissa is the distance of the point to a point to the vertical or y -axis, measured parallel to the horizontal or x –axis. That is it is the x -coordinate.

  6. The y-coordinate of point H is −3.

    Therefore, the ordinate of point H is −3. Ordinate is the distance of the point to a point to the horizontal or x -axis, measured parallel to the vertical or y –axis. That is it is the y -coordinate.

  7. The x-coordinate and the y-coordinate of point L are 0 and 5 respectively.

    Therefore, the coordinates of point L are

  8. The x-coordinate and the y-coordinate of point Mare −3 and 0 respectively.

    Therefore, the coordinates of point M are