Question

Q1. Arun is participating in an 8 miles walk. The organizer used a square coordinate grid to

plot the course. The starting point is at A(3,1). At B(3,4), there’s a water station to make sure

the walkers stay hydrated .From water station, the walkway turns right and at C(6,4) a garden

is situated to keepwalkers fresh. From the garden, the walkway turns left and finally, Arun

reaches at destination D to complete 8 miles.
(i) How far is the water station B from the starting point A ?

a. 4 miles

b. 3 miles

c. 1 miles

d. 5 miles

(ii) How far is the water station B from the garden C ?

a. 4 miles

b. 3 miles

c. 1 miles

d. 5 miles

(iii) What is the abscissa of destination point D ?

a. 3

b. 5

c. 6

d. 4

(iv) What is the ordinate of destination point D ?

a. 3

b. 5

c. 6
d. 4

(v) What are the coordinates of destination point D ?

a. (5,6)

b. (6,5)

c. (3,9)

d. (6,6)​

Answer 1

Answer:

(i) (b) 3 miles.

(ii) (b) 3 miles.

(iii) (c) 6

(iv) (c) 6

(v) (d) 6,6

Step-by-step explanation:

Hope this helps you.

Answer 2

Understanding the concept :-

given that,

coordinates of A = (3,1)

coordinates of B = (3,4)

so, using distance formula we get,

• → AB = √[(x2 - x1)² + (y2 - y1)²] = √[(3 - 3)² + (4 - 1)²] = √(0 + 3²) = √(9) = 3 miles (B) (Ans.)

(ii) How far is the water station B from the garden C ?

a. 4 miles

b. 3 miles

c. 1 miles

d. 5 miles

Answer :-

given that,

coordinates of B = (3,4)

coordinates of C = (6,4)

so, using distance formula we get,

• → BC = √[(x2 - x1)² + (y2 - y1)²] = √[(6 - 3)² + (4 - 4)²] = √(9 + 0) = √(9) = 3 miles (B) (Ans.)

(iii) What is the abscissa of destination point D ?

a. 3

b. 5

c. 6

d. 4

Answer :-

we know that,

abscissa is know as x coordinates .

so,

• → abscissa of destination point D = 6 (C) (Ans.)

(iv) What is the ordinate of destination point D ?

a. 3

b. 5

c. 6

d. 4

Answer :-

we know that,

ordinate is know as y coordinates .

so,

• → Distance left to be covered = (8 - 3 - 3) = 2 miles left .

then,

• → ordinate of destination point D = 4 + 2 = 6 (c) (Ans.)

(v) What are the coordinates of destination point D ?

a. (5,6)

b. (6,5)

c. (3,9)

d. (6,6)

Answer :-

• → the coordinates of destination point D are = (6,6) (d)

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