Problem Set 7.2 Geometry 9th Std Maths Part 2 Answers Chapter 7 Co-ordinate Geometry
i. What is the form of co-ordinates of a point on the X-axis?
(A) (b,b)
(B) (0, b)
(C) (a, 0)
(D) (a, a)
(C) (a, 0)
ii. Any point on the line y = x is of the form _____.
(A) (a, a)
(B) (0, a)
(C) (a, 0)
(D) (a, -a)
Answer:
(A) (a, a)
iii. What is the equation of the X-axis ?
(A) x = 0
(B) y = 0
(C) x + y = 0
(D) x = y
Answer:
(B) y = 0
iv. In which quadrant does the point (-4, -3) lie ?
(A) First
(B) Second
(C) Third
(D) Fourth
Answer:
(C) Third
v. What is the nature of the line which includes the points (-5, 5), (6, 5), (-3, 5), (0, 5)?
(A) Passes through the origin
(B) Parallel to Y-axis
(C) Parallel to X-axis
(D) None of these
Answer:
The y co-ordinate of all the points is the same.
∴ The line which passes through the given points is parallel to X-axis.
(C) Parallel to X-axis
vi. Which of the points P(-1, 1), Q(3, -4), R( -1, -1), S(-2, -3), T (-4, 4) lie in the fourth quadrant?
(A) P and T
(B) Q and R
(C) only S
(D) P and R
Answer:
(B) Q and R
Question 2
Maharashtra Board Solution
Some points are shown in the adjoining figure. With the help of it
Solution & Step-by-Step Answer:
the following questions : i. Write the co-ordinates of the points Q and R. ii. Write the co-ordinates of the points T and M. iii. Which point lies in the third quadrant ? iv. Which are the points whose x and y co-ordinates are equal ? Solution: i. Q(-2, 2) and R(4, -1) ii. T(0, -1) and M(3, 0) iii. Point S lies in the third quadrant. iv. The x and y co-ordinates of point O are equal.
Question 3
Maharashtra Board Solution
Without plotting the points on a graph, state in which quadrant or on which axis do the following points lie. i. (5, -3) ii. (-7, -12) iii. (-23, 4) iv. (-9, 5) v. (0, -3) vi. (-6, 0)
Solution & Step-by-Step Answer:
Question 4
Maharashtra Board Solution
Plot the following points on 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)
Solution & Step-by-Step Answer:
Question 5
Maharashtra Board Solution
In the graph alongside, line LM is parallel to the Y-axis. i. What is the distance of line LM from the Y-axis? ii. Write the co-ordinates of the points P, Q and R. iii. What is the difference between the x co-ordinates of the points L and M?
Solution & Step-by-Step Answer:
i. Distance of line LM from the Y-axis is 3 units. ii. P(3, 2), Q (3, -1), R(3, 0) iii. x co-ordinate of point L = 3 x co-ordinate of point M = 3 ∴ Difference between the x co-ordinates of the points L and M = 3 – 3 = 0
Question 6
Maharashtra Board Solution
How many lines are there which are parallel to X-axis and having a distance 5 units?
Solution & Step-by-Step Answer:
The equation of a line parallel to the X-axis is y = b. There are 2 lines which are parallel to X-axis and at a distance of 5 units. Their equations are y = 5 and y = -5.
Question 7
Maharashtra Board Solution
If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a?
Solution & Step-by-Step Answer:
Equation of Y-axis is x = 0. Since, ‘a’ is a real number, there are two possibilities. Case I: a > 0 Case II: a < 0 ∴ Distance between the Y-axis and the line x = a = a-0 = a Since, |a| = a, a > 0 = – a, a < 0 ∴ Distance between the Y-axis and the line x = a is |a|.
Maharashtra Board Class 9 Maths Chapter 7 Co-ordinate Geometry Problem Set 7 Intext Questions and Activities
|