Write the answer to each of the following questions:
(i) What is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane $?$
(ii) What is the name of each part of the plane formed by these two lines $?$
(iii) Write the name of the point where these two lines intersect $?$

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Solution

Analysing the Cartesian plane:
(i) The horizontal line drawn on the Cartesian plane is known as the $x - axis$ and the vertical line drawn on the Cartesian plane is known as the $y - axis$ .
(ii) The name of each part of the plane formed by the two lines $x - axis$ and the $y - axis$ is called a quadrant.
(iii) The point where both axes intersect is known as the origin.
A diagram is shown below,
Therefore,
(i) $x - axis$ and $y - axis$ is the name of horizontal and vertical lines drawn to determine the position of any point in the Cartesian plane.
(ii) Quadrant is the name of each part of the plane formed by these two lines.
(iii) Origin is the name of the point where these two lines intersect.

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Similar questions

Q. Write the answer of each of the following questions:

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

(i i)

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.

Q. Answer the questions with the help of the fig. 5.36

(i) Write the name of the line having equation y = 4
(ii) Write the co-ordinates of the point of intersection of line AB and line MN.
(iii) What is the equation of line EF?
(iv) Write the equations of line MN, line PQ, line AB and line CD.

Figure

Q. State which of the following statements are true (T) and which are false (F).

(i) Point has a size because we can see it as a thick dot on paper.
(ii) By liens in geometry, we mean only straight lines.
(iii) Two lines in a plane always intersect in a point.
(iv) Any plane through a vertical line is vertical.
(v) Any plane through a horizontal line is horizontal.
(vi) There cannot be a horizontal line a vertical plane.
(vii) All lines in a horizontal plane are horizontal.
(viii) Two lines in a plane always intersect in a point.
(ix) If two lines intersect at a point P, then P is called the point of concurrence of the two lines.
(x) If two lines intersect at a point P, then p is called the point of intersection of the two lines.
(xi) If A,B,C and D are collinear points D, P and Q are collinear, then points A, B, C, D, P and Q are always collinear.
(xii) Two different lines can be drawn passing through two given points.
(xiii) Through a given point only one line can be drawn.
(xiv) Four points are collinear if any three of them lie on the same line.
(xv) The maximum number of points of intersection of three lines is three.
(xvi) The minimum number of points of intersection of three lines is one.

Q. In the figure alongside, four points P, Q, R and S are given, Draw lines, each passing through any two of the points. Then answer these questions.

(1) Name the lines whose points of concurrence is Q.
(2) Which of the lines PS, SR, QS and PR are concurrent?

Fill in the blanks so as to make the following statements true :

(i) Two distinct points in a plane determine a _________ line.

(ii) Two distinct ______ in a plane cannot have more than one point in common.

(iii) Given a line and a point, not on the line, there is one and only______ line which passes through the given point and is ______ to the given line.

(iv) A line separtes a plane into ______ parts namely the ______ and the ______ itself.

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