NCERT Class 9 Solutions: Coordinate Geometry (Chapter 3) Exercise 3.2 – Part 1
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:
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What is the name of horizontal and vertical line drawn to determine the position of any point in the Cartesian plane?
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What is the name of each part of the plane formed by these two lines?
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Write the name of the point where these two lines intersect.
Solution:
Image of a Cartisian Plane
Image dipicting components of a cartisian plane
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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.
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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)
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Name of the point where there two lines intersect is called as origin.
Q-2 See Fig. and write the following:
Give X-Axis & Y-Axis
Give x-axis & y-axis.Right side of x-axis is denoted by possitive side & left side denoted negative side.And y-axis above positive number & bellow negative number.
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The coordinates of B.
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The coordinates of C.
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The point identified by the coordinates
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The point identified by the coordinates.
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The abscissa of the point D.
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The ordinate of the point H.
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The coordinate of the point L.
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The coordinate of the point M.
Solution:
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The x-coordinate and the y-coordinate of point B are −5 and 2 respectively.
Therefore, the coordinates of point B are
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The x-coordinate and the y-coordinate of point C are 5 and −5 respectively.
Therefore, the coordinates of point C are
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The point whose x-coordinate and y-coordinate are −3 and −5 respectively is point E.
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The point whose x-coordinate and y-coordinate are 2 and −4 respectively is point G.
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The x-coordinate of point D is 6.
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.
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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.
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The x-coordinate and the y-coordinate of point L are 0 and 5 respectively.
Therefore, the coordinates of point L are
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The x-coordinate and the y-coordinate of point Mare −3 and 0 respectively.
Therefore, the coordinates of point M are