Maharashtra Board Class 9 Math Part 2 Chapter 7 Coordinate Geometry Solution

Maharashtra Board Class 9 Math Part 2 Solution Chapter 7 – Coordinate Geometry

Balbharati Maharashtra Board Class 9 Math Part 2 Solution Chapter 7: Coordinate Geometry. Marathi or English Medium Students of Class 9 get here Coordinate Geometry full Exercise Solution.

Std

Maharashtra Class 9
Subject

Math Part 2 Solution

Chapter

Coordinate Geometry


Practice Set – 7.1

(1) State in which quadrant or on which axis do the following points lie.

A (-3, 2) = Second Quadrant  

B (-5, -2) = Third Quadrant

K (3.5, 1.5) = First Quadrant

D (2, 10) = First Quadrant

E (37, 35) = First Quadrant

F (15, -18) = Fourth Quadrant

G (3, -7) = Fourth Quadrant

H (0, -5) = Y-axis (negative)

M (12, 0) = X – axis

N (0, 9) = y – Axis

P (0, 2.5) = y – axis

Q (-7, -3) = Third Quadrant

 

(2) In which quadrant are the following points?

(i) Whose both co-ordinates are positive.

= (i) First Quadrant.

(ii) Whose both co-ordinates are negative.

= (ii) Third Quadrant.

(iii) Whose x co-ordinate is positive, and the y co-ordinate is negative.

= (iii) Fourth Quadrant.

(iv) Whose x co-ordinate is negative and y co-ordinate is positive.

= Second Quadrant.

 

(3) Draw the co-ordinate system on a plane and plot the following points.

L(-2, 4), M(5, 6), N(-3, -4), P(2, -3), Q(6, -5), S(7, 0), T(0, -5)

Solution:

Practice Set – 7.2

(1) On a graph paper plot the points A (3,0), B(3,3), C(0,3). Join A, B and B, C. What is the figure formed?

Solution:

(2) Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.

Solution:

(3) Write the equation of the line parallel to the X-axis at a distance of 5 units from it and below the X-axis.

Solution:

The equation is y = -5.

 

(4) The point Q (-3, -2) lies on a line parallel to the Y-axis. Write the equation of the line and draw its graph.

Solution:

The equation is x = -3.

(5) X-axis and line x = -4 are parallel lines. What is the distance between them?

Solution:

The distance between them is 4 units.

 

(6) Which of the equations given below have graphs parallel to the X-axis, and which ones have graphs parallel to the Y-axis?

(i) x = 3

(ii) y – 2 = 0

(iii) x + 6 = 0

(iv) y = -5

Solution:

(i) Parallel to y – axis

(ii) parallel to x – axis

(iii) Parallel to y – axis

(iv) Parallel to x – axis

(7) On a graph paper, plot the points A (2, 3), B(6, -1) and C(0, 5). If those points are collinear then draw the line which includes them. Write the co-ordinates of the points at which the line intersects the X-axis and the Y-axis.

Solution:

(8) Draw the graphs of the following equations on the same system of co-ordinates. Write the co-ordinates of their points of intersection.

x + 4 = 0, y – 1 =0, 2x + 3 = 0, 3y – 15 =0  

Solution:

Problem Set – 7

(1) Choose the correct alternative answer for the following questions.

(i) What is the form of co-ordinates of a point on the X-axis ?

(A) (b, b)

(B) (o, b)

(C) (a, o)

(D) (a, a)

Ans:

(C) (a, o).

 

(ii) Any point on the line y = x is of the form…..

(A) (a, a)

(B) (o, a)

(C) (a, o)

(D) (a, – a)

Ans:

(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

Ans:

(B) y = 0.

 

(iv) In which quadrant does the point (-4, -3) lie?

(A) First

(B) Second

(C) Third

(D) Fourth

Ans:

(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

Ans:

(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

Ans:

(B) Q and R.

 

(2) Some points are shown in the figure 7.11.

With the help of it answer the following questions:

(i) Write the co-ordinates of the points Q and R.

Ans: Q (-2, 2) and R (4, -1)

 

(ii) Write the co-ordinates of the points T and M.

Ans: T (0, -1) and M (3, 0)

 

(iii) Which point lies in the third quadrant?

Ans: S

 

(iv) Which are the points whose x and y co-ordinates are equal?

Ans: O.

 

(3) Without plotting the points on a graph, state in which quadrant or on which axis do the following point lie.

(i) (5, -3)

(ii) (-7, -12)

(iii) (-23, 4)

(iv) (-9, 5)

(v) (0, -3)

(vi) (-6, 0)

Solution:

(i) Fourth

(ii) Third

(iii) Second

(iv) Second

(v) Y-axis

(vi) X-axis

 

(4) Plot the following points on the 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:

 

(5) In the graph alongside, line LM is parallel to the Y-axis. (Fig. 7.12)

(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:

(i) 3 units

(ii) P (3, 2), Q (3, -1) & R (3, 0)

(iii) 0

 

(6) How many lines are there which are parallel to X-axis and having a distance 5 units?

Solution:

2 Lines, y = 5, y = -5.

 

(7) If ‘a’ is a real number, what is the distance between the Y-axis and the line x = a?

Solution:

|a|.

Updated: September 11, 2021 — 10:24 pm

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