हिंदी

Locate the points P(3, 4), Q(1, 0), R(0, 4), S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.

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प्रश्न

Locate the points P(3, 4), Q(1, 0), R(0, 4), S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.

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उत्तर


Observing the graph, we see that the line segments PQ and RS intersect at the point T(2, 2).

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अध्याय 12: Introduct To Graphs - Exercise [पृष्ठ ३८६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 12 Introduct To Graphs
Exercise | Q 61. | पृष्ठ ३८६

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संबंधित प्रश्न

Plot the following points on a graph sheet. Verify if they lie on a line

P(1, 1), Q(2, 2), R(3, 3), S(4, 4)


State whether True or False. Correct those are false.

A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.


Locate the points:

(1, 3), (2, 3), (3, 3), (4, 3)


Plot the following points and verify if they lie on a line. If they lie on a line, name it.
(0, 2), (0, 5), (0, 6), (0, 3.5)

The point (3, 4) is at a distance of ______.


A point which lies on both the axis is ______.


The process of fixing a point with the help of the coordinates is known as ______ of the point.


A point has 5 as its x–coordinate and 4 as its y–coordinate. Then the coordinates of the point are given by ______.


The table given below shows the temperatures recorded on a day at different times.


Observe the table and answer the following questions.

  1. What is the temperature at 8 am?
  2. At what time is the temperature 3°C?
  3. During which hour did the temperature fall?
  4. What is the change in temperature between 7 am and 10 am?
  5. During which hour was there a constant temperature?

Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.

Point (x, y)
A (1, 1)
B (4. 4)
C (8, 4)
D (5, 1)

     Table I

Point (0.5x, 0.5y)
E (0.5, 0.5)
F  
G  
H  

     Table II

Point (2x, 1.5y)
J (2, 1.5)
K  
L  
M  

    Table III

Draw parallelograms EFGH and JKLM on the same graph paper.

Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.


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