मराठी
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.

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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:

(−4, 0)


Plot the following point on the graph paper:

 (0, 7)


Plot the following points on the one and the same co-ordinate system.

A(1, 3), B(-3, -1), C(1, -4), D(-2, 3), E(0, -8), F(1, 0)


Plot the following point in the coordinate system and identify the quadrant.

Q(7, −2)


Plot the following point in the coordinate system and identify the quadrant.

S(3, 5)


Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed?

(0, 0) (−4, 0) (−4, −4) (0, −4)


Find the quadrants without plotting the point on a graph sheet

(3, −4)


Plot the following point in a graph sheet.

B(−7, −3)


Find the quadrants without plotting the point on a graph sheet.

(2, 0)


Plot the following point in a graph sheet.

E(0, −5)


Plot the following point in a graph sheet.

F(2, 0)


Plot the following point in a graph sheet.

G(7, −4)


Find the quadrants without plotting the point on a graph sheet

(−3, −5)


Find the quadrants without plotting the point on a graph sheet

(4, −3)


If P(–1, 1), Q(3, –4), R(1, –1), S(–2, –3) and T(–4, 4) are plotted on the graph paper, then the point(s) in the fourth quadrant are ______.


Plot the following points and check whether they are collinear or not:

(1, 3), (– 1, – 1), (– 2, – 3)


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).


Plot the points (x, y) given by the following table. Use scale 1 cm = 0.25 units

x 1.25 0.25 1.5 – 1.75
y – 0.5 1 1.5 – 0.25

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.


Plot the points P(1, 0), Q(4, 0) and S(1, 3). Find the coordinates of the point R such that PQRS is a square.


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