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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Some points are shown in the following figure. With the help of it answer the following questions: (1) Write the co-ordinates of the points Q and R. (2) Write the co-ordinates of the points T and M. - Geometry

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प्रश्न

Some points are shown in the following figure. With the help of it answer the following questions:

  1. Write the co-ordinates of the points Q and R.
  2. Write the co-ordinates of the points T and M.
  3. Which point lies in the third quadrant?
  4. Which are the points whose x and y co-ordinates are equal?
थोडक्यात उत्तर
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उत्तर

(1) The x co-ordinate of a point is its distance from the Y-axis and the y co-ordinate of a point is its distance from the X-axis.

The co-ordinates of point Q are (−2, 2) and the co-ordinates of point R are (4, −1).

(2) The x co-ordinate of every point on the Y-axis is 0 and the y co-ordinate of every point on the X-axis is 0.

The co-ordinates of point T are (0, −1) and the co-ordinates of point M are (3, 0).

(3) The point whose x co-ordinate is negative and y co-ordinate is negative lies in the third quadrant.

Thus, the point S(−3, −2) lies in the third quadrant.

(4) The co-ordinates of point O are (0, 0).

Thus, O is the point whose x and y co-ordinates are equal.

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पाठ 7: Co-ordinate Geometry - Problem Set 7 [पृष्ठ ९९]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 7 Co-ordinate Geometry
Problem Set 7 | Q 2. | पृष्ठ ९९

संबंधित प्रश्‍न

Plot the following point on the graph paper:

 (0, 0)


Plot the following point on the graph paper:

(2, 5)


Plot the following point on the graph paper:

 (−3, 2)


Plot the following point on the graph paper:

(7, 0)


Plot the following point on the graph paper:

(−4, 0)


Plot the following point on the graph paper:

 (0, 7)


Write down the abscissa and ordinate of the following.

S


Plot the following point in a graph sheet.

G(7, −4)


Plot the following point in a graph sheet.

H(−4, 0)


Find the quadrants without plotting the point on a graph sheet

(4, −3)


Plot the following point in a graph sheet.

J(8, −4)


Use the graph to determine the coordinates where each figure is located.

a) Star _______
b) Bird _______
c) Red circle _______
d) Diamond _______
e) Triangle _______
f) Ant _______
g) Mango _______
h) Housefly _______
i) Medal _______
j) Spider _______

Write the coordinates of each of the points P, Q, R, S, T and O from the figure.


Plot the following points and write the name of the figure obtained by joining them in order:

P(– 3, 2), Q(– 7, – 3), R(6, – 3), S(2, 2)


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).


Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.


From the figure, answer the following:

  1. Write the points whose abscissa is 0.
  2. Write the points whose ordinate is 0.
  3. Write the points whose abscissa is –5.


From the figure, answer the following:

Write the points whose abscissa is – 5.


Plot the points A(1, – 1) and B(4, 5). Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.


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