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#### 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*.

#### 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 248:

#### 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 248:

#### 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 248:

#### 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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