Q. 53.7( 3 Votes )

# (i) How many lines can be drawn to pass through a given points?

(ii) How many lines can be drawn to pass through two given points?

(iii) In how many points can the two lines at the most intersect?

(iv) If A, B,C are three collinear points , name all the line segments determined by them.

Answer :

(i) Infinite number of lines can be drawn to pass through a given point.

(ii) Only one line can be drawn to pass through two given points.

(iii) Two lines intersect in at most one point.

(iv) , ,

A line segment has two end points with a definite length.

If three or more points lie on a straight line, it is called collinear points.

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Without plotting the points indicate the quadrant in which they will lie, if

(i) ordinate is 5 and abscissa is – 3

(ii) abscissa is – 5 and ordinate is – 3

(iii) abscissa is – 5 and ordinate is 3

(iv) ordinate is 5 and abscissa is 3

NCERT Mathematics ExemplarIn Fig. 3.6, LM is a line parallel to the y-axis at a distance of 3 units.

(i) What are the coordinates of the points P, R and Q?

(ii) What is the difference between the abscissa of the points L and M?

NCERT Mathematics Exemplar

Which of the following points lie on y-axis?

A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, – 1), F(– 1, 0), G(0, 5), H(– 7, 0), I(3, 3)

NCERT Mathematics ExemplarPlot the points (x, y) given by the following table:

Draw the graph of the equation,

RS Aggarwal & V Aggarwal - MathematicsIn the adjoining figure, name :

(i) Six Points

(ii) Five Line Segments

(iii) Four rays

(iv) Four lines

(v) Four collinear points

RS Aggarwal & V Aggarwal - MathematicsWhich point does not lie in any quadrant?

RS Aggarwal & V Aggarwal - MathematicsPlot the points (x, y) given by the following table.

Use scale 1 cm = 0.25 units

NCERT Mathematics Exemplar

Draw the graph of the equation,

RS Aggarwal & V Aggarwal - MathematicsDraw the graph of the equation,

RS Aggarwal & V Aggarwal - Mathematics