Three friends Anita, Bharti and Zubeda were sitting in their classroom as follows
(from bottom) :
Anita : First row and third column
Bharti : Fourth row and sixth column
Zubeda : Sixth row and eighth column
Teacher asked vinay, “Are they sitting
in the same line?” Vinay took aruler and
tried to see whether they are in the same
line or not. He wasnot
sure as the ruler
was too short for this purpose.
i) Co-ordinates of the position of Anita :
(1)
a) (6 , 4)
b) (3 , 1)
c) (8 , 6)
d) (1 , 3)
ii) The distance between thepositions of Bharti and Zubeda is:
(1)
a) 5 √2
b) 4√2
c) 3√2
d) 2√2
iii) The midpoint of the line segment joining A and C is:
(1)
a) (7 , 5)
b) (
9
2
, 5
2 )
c) (
11
2 , 7
2 )
d) (3 , 2)
iv) The distance between theorigin and the position of Zubeda :
(1)
a) 10
b) 2√13
c) √10
d) 52
v) The midpoint of the line segment joining A and B is :
(1)
a) (7 , 5)
b) (
9
2
, 5
2 )
c) (
11
2 , 7
2 )
d) (3 , 2)
Answers
I don't understand sorry
i) Co-ordinates of the position of Anita :
a) (6 , 4)
b) (3 , 1)
c) (8 , 6)
d) (1 , 3)
Answer :-
- Co-ordinates of the position of Anita = (3,1) (b) (Ans.)
ii) The distance between the positions of Bharti and Zubeda is:
a) 5 √2
b) 4√2
c) 3√2
d) 2√2
Answer :-
→ Co-ordinates of the position of Bharti = (6,4)
→ Co-ordinates of the position of Zubeda = (8,6)
then,
→ Distance between the positions of Bharti and Zubeda = √[(8 - 6)² + (6 - 4)²] = √(2² + 2²) = √(4 + 4) = √8 = 2√2 (d) (Ans.)
iii) The midpoint of the line segment joining A and C is:
a) (7 , 5)
b) (9/2,5/2)
c) (11/2,7/2)
d) (3 , 2)
Answer :-
→ Midpoint of the line segment joining A and C = (3 + 8)/2 , (1 + 6)/2 = (11/2 , 7/2) (c) (Ans.)
iv) The distance between theorigin and the position of Zubeda :
a) 10
b) 2√13
c) √10
d) 52
Answer :-
→ The distance between the origin and the position of Zubeda = √[(8 - 0)² + (6 - 0)²] = √(8² + 6²) = √(64 + 36) = √(100) = 10 (a) (Ans.)
v) The midpoint of the line segment joining A and B is :
a) (7 , 5)
b) (9/2,5/2)
c) (11/2,7/2)
d) (3 , 2)
Answer :-
→ Midpoint of the line segment joining A and B is = (3 + 6)/2, (1 + 4)/2 = (9/2 , 5/2) (b) (Ans.)
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