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assignment 3 math class 9

What   is Cartesian coordinate system

Answer: A system which involves the x-axis and y-axis on the two dimensional surface is called a cartesian coordinate system.

What we call the horizontal line in Cartesian coordinate system.

Answer: Horizontal line is called the x - axis.

What we call the vertical   line in Cartesian coordinate system.

Answer: Vertical Line is called the y - axis.

Which point is called the origin and what are its coordinates.

Answer: The point of intersection of x - axis and y - axis is called the Origin. Coordinates of origin are (0,0)

What is the point on x – axis.

Answer: Any point on the x - axis is (a, 0)

What is the point on y-axis.

Answer:  Any point on the y - axis is (0, b)

What do you mean by ordinates.

Answer: Point on y - axis is called ordinate.

What do you mean by abscissa.

Answer: Point on the x-axis is called abscissa.

Write the coordinates of the points given in the following graph. Also write In which quadrant or on which axis the following points lie.

assignment 3 math class 9

Answer: 

A(3, 4) lie in I quadrant

B(-4, 3) lie in II quadrant

C(-2. -3) lie in III quadrant

D(3, -2) lie in IV quadrant

E(2, 0) lie on the x-axis

F(-2, 0) lie on the x-axis

G(0, 2) lie on y-axis

H(0, -2) lie on y-axis

Write the abscissa and ordinate of the following points

(-3, 5),     (0, 9),    (-5, 0),     (3,3),    (7, -9),   (12, 13)

Abscissa:  -3, 0, -5, 3, 7, 12

Ordinate:  5, 9, 0, 3, -9, 13

assignment 3 math class 9

Write the coordinates of the point :

a) Whose ordinate is -5 and which lies on y- axis.

b) Which lies on x-axis and y – axes both.

c) Whose abscissa is -3 and which lies on x – axis.

b) Point on the x-axis is (a, 0) and Point on the y-axis is (0, b)

assignment 3 math class 9

  Question 13:

What is the perpendicular distance of the point (3, 4) from

           a)   x – axis           b) Y – axis

a) 4 unit   b) 3 unit

What is the perpendicular distance of the point (7, 26) from

a) 26 unit   b) 7 unit

Name the quadrant in which abscissa and ordinate have different sign.

Ans: In II and IV quadrant abscissa and ordinate have different sign.

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

Coordinates of R(4, 3),  Area of square PQRS = 9 square units)

Mark the points A(2, 2), B(2, -2), C(-2, -2) and D(-2, 2) on the graph paper and join these points in order. Identify the figure so obtained. Also find the area of the figure.  

Square, Area = 16cm 2 ]

Plot the points P(-1, 0), Q(0, 1) and R(2, 3) on the graph paper and check whether they are collinear or not.

Answer: If P, Q, R all points lie on a straight line then points are collinear.

If the points A(0, -6), B(0, 2 and C (a, 3) lie on the y-axis, then find the value of a.

Answer: For points on the y-axis the abscissa is "0" So the value of a = 0

From the given graph write :

a) The coordinates of the points B and F

b) The abscissas of points D and H

c) The ordinates of the points A and C

d) The perpendicular distance of the point G from x-axis 

assignment 3 math class 9

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