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Decide Which of the Following Statements is True and Which is False. Give Reasons for Your Answer. Points Whose X and Y Coordinates Are Equal, Lie on a Line Passing Through the Origin. - Mathematics

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प्रश्न

Decide which of the following statements is true and which is false. Give reasons for your answer.

Points whose x and y coordinates are equal, lie on a line passing through the origin.

थोडक्यात उत्तर
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उत्तर

The examples of points having equal x and y coordinates are (0,0), (1,1), (2,2), etc. If these points are joined, they will lie on a line passing through the coordinates (0,0). Thus, the statement is true.

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पाठ 27: Introduction to Graphs - Exercise 27.1 [पृष्ठ ७]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 27 Introduction to Graphs
Exercise 27.1 | Q 7.4 | पृष्ठ ७

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संबंधित प्रश्‍न

Write the coordinates of the vertices of each of these adjoining figures.


A point in which the x-coordinate is zero and y-coordinate is non-zero will lie on the ______.


All points with y-coordinate as zero lie on the ______.


For the point (5, 2), the distance from the x-axis is ______ units.


The y-coordinate of the point (2, 4) is ______.


Match the coordinates given in Column A with the items mentioned in Column B.

Column A Column B
(1) (0, 5) (a) y coordinate is 2 × x - coordinate + 1.
(2) (2, 3) (b) Coordinates of origin.
(3) (4, 8) (c) Only y–coordinate is zero.
(4) (3, 7) (d) The distance from x-axis is 5.
(5) (0, 0) (e) y coordinate is double of x-coordinate.
(6) (5, 0) (f) The distance from y-axis is 2.

Write the x-coordinate (abscissa) of the given point.

(5, 7)


Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.

(1, 2), (2, 4), (3, 6), (4, 8)


Locate the points A(1, 2), B(4, 2) and C(1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.


This graph shows the per cent of students who dropped out of school after completing High School. The point labelled A shows that, in 1996, about 4.7% of students dropped out.

  1. In which year was the dropout the rate highest? In which year was it the lowest?
  2. When did the per cent of students who dropped out of high school first fall below 5%?
  3. About what per cent of students dropped out of high school in 2007? About what per cent of students stayed in high school in 2008?

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