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Question 12 Marks
As shown in the adjoining figure, ask girls to sit in lines so as to form the X-axis and Y-axis.
i. Ask some boys to sit at the positions marked by the coloured dots in the four quadrants.
i. Now, call the students turn by turn using the initial letter of each student’s name. As his or her initial is called, the student stands and gives his or her own co-ordinates. For example Rajendra (2, 2) and Kirti (-1, 0)
iii. Even as they have fun during this field activity, the students will leam how to state the position of a point in a plane.
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Question 22 Marks
In which quadrant or on which axis are the points given below ?
A(5,7), B(-6,4), C(4,-7), D(-8,-9), P(-3,0), Q(0,8)
Answer
The x co-ordinate of A (5, 7) is positive and its y co-ordinate is positive..
∴ point A is in the first quadrant.
The x co-ordinate of B (-6, 4) is negative and y co-ordinate is positive.
∴ point B is in the second quadrant.
The x co-ordinate of C (4, -7) is positive and y co-ordinate is negative.
∴ point C is in the fourth quadrant.
The x co-ordinate of D (-8, -7) is negative and y co-ordinate is negative.
∴ point D is in the third quadrant.
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Question 32 Marks
Y-axis and line x = – 4 are parallel lines. What is the distance between them?
Answer
Equation of Y-axis is x = 0.
Equation of the line parallel to the Y-axis is x = – 4. … [Given]
∴ Distance between the Y-axis and the line x = – 4 is 0 – (- 4) … [0 > -4]
= 0 + 4 = 4 units
∴ The distance between the Y-axis and the line x = – 4 is 4 units.
[Note: The question is modified as X-axis cannot be parallel to the line x = – 4.]
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