RS Aggarwal 2018 Solutions for Class 8 Math Chapter 22 Introduction To Coordinate Geometry are provided here with simple step-by-step explanations. These solutions for Introduction To Coordinate Geometry are extremely popular among class 8 students for Math Introduction To Coordinate Geometry Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the RS Aggarwal 2018 Book of class 8 Math Chapter 22 are provided here for you for free. You will also love the ad-free experience on Meritnationâ€™s RS Aggarwal 2018 Solutions. All RS Aggarwal 2018 Solutions for class 8 Math are prepared by experts and are 100% accurate.

#### Page No 247:

#### Question 1:

Write the abscissa of each of the following points:

(i) (0, 5)

(ii) (3, 7)

(iii) (–2, 4)

(iv) (6, –3)

#### Answer:

(i) Abscissa of (0,5) = 0

(ii) Abscissa of (3,7) =3

(iii) Abscissa of (−2,4) = −2

(iv) Abscissa of (6,−3) = 6

#### Page No 247:

#### Question 2:

Write the ordinate of each of the following points:

(i) (4, 0)

(ii) (5, 2)

(iii) (1, –4)

(iv) (–10, –7)

#### Answer:

(i) Ordinate of (4,0) = 0

(ii) Ordinate of (5,2) =2

(iii) Ordinate of (1,−4) =− 4

(iv) Ordinate of (−10,−7) = −7

#### Page No 247:

#### Question 3:

On a graph paper, plot each of the following points:

(i) A (4, 3)

(ii) B (–2, 5)

(iii) C (0, 4)

(iv) D (7, 0)

(v) E (–3, –5)

(vi) F (5, –3)

(vii) G (–5, –5)

(viii) H (0, 0)

#### Answer:

#### Page No 247:

#### Question 4:

Plot each of the following points on a graph sheet. Verify that they lie on a line.

(i) *A* (4, 0), *B* (4, 2), *C* (4, 2.5), and *D* (4, 6)

(ii) *P* (1, 1), *Q* (2, 2), *R* (3, 3), and *S* (4,4)

(iii) *L* (6, 2), *M* (5, 3), *N* (3, 5), and *O* (2, 6)

#### Answer:

(i) After joining points A, B, C, D, we can see that the given points forms a straight line

(ii) After joining points P, Q ,R, S, we can see that the given points forms a straight line

(iii) After joining points L, M, N, O, we can see that the given points forms a straight line

#### Page No 247:

#### Question 5:

Plot the given points on a graph sheet and check if they lie on a straight line. If not, name the shape they form when joined in the given order.

(i) *A* (0, 2), *B* (0, 3.5), *C* (0, 5) and *D* (0, 6)

(ii) *P* (1, 3), *Q* (1, 5), *R* (3, 3) and *S* (3, 5)

(iii) *E* (4, 5), *F* (5, 5), *G* (5, 7) and *H* (6, 5)

(iv) *L* (2, 0), *M* (2, 3), *N* (0, 3) and *O* (0, 0)

(v) *J* (4, 3), *K* (6, 1), *L* (6, 5) and *M* (4, 7)

#### Answer:

(i) After joining the given points, we see that they form a straight line.

(ii) After joining the given points, we see that they form a square.

(iii) After joining the given points, we see that they form a traingle.

(iv) After joining the given points, we see that they form a rectangle.

(v) After joining the given points, we see that they form a paralellogram.

#### Page No 247:

#### Question 6:

Locate the points *A* (1, 2), *B* (4, 2) and *C *(1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point *D *in order to complete the rectangle *ABCD*.

#### Answer:

Co-ordinates of D = (4,4)

#### Page No 247:

#### Question 7:

Locate the points *A* (1, 2), *B* (3, 4) and *C* (5, 2) on a graph sheet taking suitable axes. Write the coordinates of the fourth point *D* in order to complete the rhombus *ABCD*. Measure the diagonals of this rhombus and check whether they are equal or not.

#### Answer:

Co-ordinates of D =(3,0)

Distance AC = 4 unit

distance BD = 4 unit

Hence, we can see that diagonals of the given rhombus are of equal length i.e, 4 units.

#### Page No 247:

#### Question 8:

Locate the points *P* (3, 4), *Q* (1, 0),* R* (0, 4) and S (4, 1) on a graph sheet and write the coordinates of the points of intersection of line segments *PQ* and *RS*.

#### Answer:

From the graph, we can see that point of intersection of line segment PQ and RS is O(2.2,2.3)

#### Page No 247:

#### Question 9:

Plot the points A (2, 4) and B (4, 2) on a graph sheet and draw a line passing through these two points. Extend the line on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the *x*-axis and the *y*-axis?

#### Answer:

From the graph, we can see that after extending line AB, it cuts *x*-axis at P(6,0) and *y*-axis at Q(0,6).

#### Page No 247:

#### Question 10:

From the given figure, choose the letters that indicate the location of the following points:

(a) (2, 1)

(b) (0,5)

(c) (2,0)

Also, mention the coordinates of the points *A* and *F*.

Figure

#### Answer:

(a) Location of (2,1) is shown by E.

(b) Location of (0,5) is shown by B.

(C) Location of (2,0) is shown by G.

Co-ordinates of point A is (4,5) and F is (5.5,0)

#### Page No 247:

#### Question 11:

Write the coordinates of all points in the graph given below:

#### Answer:

From the graph

Co-ordinate of A =(4,7)

Co-ordinate of B =(7,4)

Co-ordinate of C =(4,1)

Co-ordinate of D =(1,4)

Co-ordinate of E =(3,5)

Co-ordinate of F =(5,5)

Co-ordinate of G =(5,3)

Co-ordinate of H =(3,3)

Co-ordinate of I =(4,5)

Co-ordinate of J =(5,4)

Co-ordinate of K =(4,3)

Co-ordinate of L =(3,4)

#### Page No 247:

#### Question 12:

Write the coordinates of the vertices of each of the figures given below:

#### Answer:

From the graph

Co-ordinate of A =(1,1)

Co-ordinate of B =(3,0)

Co-ordinate of C =(4,2)

Co-ordinate of D =(2,3)

Co-ordinate of E =(5,1)

Co-ordinate of F =(6,3)

Co-ordinate of G =(5,5)

Co-ordinate of H =(4,3)

Co-ordinate of I =(1,2)

Co-ordinate of J =(2,4)

Co-ordinate of K =(0,5)

Co-ordinate of L =(2,5)

Co-ordinate of M =(1,5)

Co-ordinate of N=(2,6)

Co-ordinate of O =(3,6)

Co-ordinate of P =(4,5)

Co-ordinate of Q =(4,4)

#### Page No 247:

#### Question 13:

Fill in the blanks to make the given statements true.

(i) A point in which the *x*-coordinate is 0 and *y*-coordinate is 5 will lie on ..... .

(ii) All point with *y*-coordinate as 0 lie on ...... .

(iii) The *x*-coordinate of any point lying on the *y*-axis is always ..... .

(iv) The point where the two axes intersect is called the ..... .

(v) For the point (5, 2), the distance from the *x*-axis is ...... units.

(vi) The distance of any point from the *y*-axis is the ...... coordinate.

(vii) The coordinates of the origin are ...... .

#### Answer:

(i) *Y*- axis

(ii) *X*-axis

(iii) 0

(iv) origin

(v) 2

(vi) *x*

(vii) (0, 0)

#### Page No 249:

#### Question 1:

In which of the following quadrants does the point *P* (3, 6) lie?

(a) I

(b) II

(c) III

(d) IV

#### Answer:

(a) I

#### Page No 249:

#### Question 2:

In which of the following quadrants does the point (–7, –1) lie?

(a) I

(b) II

(c) III

(d) IV

#### Answer:

(C) III

#### Page No 249:

#### Question 3:

In which of the following quadrants does the point *A* (2, –3) lie?

(a) I

(b) II

(c) III

(d) IV

#### Answer:

(d) IV

#### Page No 249:

#### Question 4:

In which of the following quadrants does the point *Q* (–4, 1) lie?

(a) I

(b) II

(c) III

(d) IV

#### Answer:

(b) II

#### Page No 249:

#### Question 5:

The abscissa of a point is its distance from the

(a) origin

(b) *x*-axis

(c) *y*-axis

(d) none of these

#### Answer:

(c) y-axis

#### Page No 249:

#### Question 6:

In which of the following quadrants does the point (–7, –1) lie?

(a) the *x*-axis

(b) the *y*-axis

(c) a line parallel to the *y*-axis

(d) a line parallel to the *x*-axis

#### Answer:

(d) a line parallel to the x-axis

#### Page No 249:

#### Question 7:

The equation representing the *y*-axis is

(a)* x* = 0

(b) *y *= 0

(c) *x* = *a*

(d) *y* = *a*

#### Answer:

(a) x=0

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