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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.
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
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)
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
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