Question 1:
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.
Question 2:
What we call the horizontal line
in Cartesian coordinate system.
Answer: Horizontal line is called the x - axis.
Question 3:
What we call the vertical line in Cartesian coordinate system.
Answer: Vertical Line is called the y - axis.
Question 4:
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)
Question 5:
What is the point on x – axis.
Answer: Any point on the x - axis is (a, 0)
Question 6:
What is the point on y-axis.
Answer: Any point on the y - axis is (0, b)
Question 7:
What do you mean by ordinates.
Answer: Point on y - axis is called ordinate.
Question 8:
What do you mean by abscissa.
Answer: Point on the x-axis is called abscissa.
Question 9:
Write the coordinates of the
points given in the following graph. Also write In which quadrant or on which
axis the following points lie.
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
Question 10:
Write the abscissa and ordinate
of the following points
(-3, 5), (0,
9), (-5, 0), (3,3),
(7, -9), (12, 13)
Answer
Abscissa: -3, 0, -5, 3, 7, 12
Ordinate: 5, 9, 0, 3, -9, 13
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.
Answer:
a) (0,-5)
b) Point on the x-axis is (a, 0) and Point on the y-axis is (0, b)
c) (-3, 0)
Question 12:
Write the coordinates of the
points given in the following graph. Also write In which quadrant or on which
axis the following points lie.
What is the perpendicular distance of the point (3, 4) from
a) x –
axis b)
Y – axis
Answer
a) 4 unit b) 3 unit
Question 14:
What is the perpendicular distance of the point (7, 26) from
a) x –
axis b)
Y – axis
Answer
a) 26 unit b) 7 unit
Question 15:
Name the quadrant in which
abscissa and ordinate have different sign.
Ans: In II and IV quadrant abscissa and ordinate have different sign.
Question 16:
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.
Answer
Coordinates of R(4, 3), Area of square PQRS = 9
square units)
Question 17:
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.
Answer
Square, Area = 16cm2]
Question 18:
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.
Question 19:
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
Question 20:
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
It is very helpful for students.
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