Question

two sisters Manju and meenu were at home and have to reach school. Manju went to library first to return book and then reaches school directly. Where as meenu went to park first to meet her friends and reaches school directly.
A) how far is school from their home
(i) 8m (ii) 6m(iii)4m (iv) 5m
B) what is the extra distance traveled by Manju to reach school
(i) 12m (ii) 8m (iii) 14m (iv) 16m
Find the location of hospital exactly the halfway between the line segment joining library and railway Station.
(i) (27/8,0) (ii) (0,27/8) (iii) (-27/8,0) (iv) (0,-27/8)
E) distance traveled by meenu from park to school is
(i) 25m (ii) 16m (iii) 5m (iv) 9m

THIS IS CASE STUDY. PLEASE ANSWER. IT WAS VERY HARD TO TYPE ALL THESE. ​

Answer 1

Answer:

A) Distance of school (5,2) from their home (5,8) = 8-2 = 6m

Ans is (ii):6m

B) Distance travelled by Manju = Home to Library + Library to school = √(8^2+ 6^2) + (3+5) = 10+8 = 18m

Extra distance travelled by Manju = 18-6 = 12m

Ans is (i) 12 m

C) Location of hospital = midpoint of Library and Railway station = [(-3-8)/2, (-6+2)/2] = [-11/2, -4/2] = (-5.5, -2)

Ans is (iv) (-5.5, -2)

D) Equi-distant Point on X axis from School (5,2) and Park (1,-1) will have positive X value and Y= 0. The only option is (i) (27/8, 0)

E) Distance travelled by Meenu from Park (1,-1) to School (5,2) =√ [{5-1}^2+{2-(-1)}^2] = √[4^2+3^2 =✓16+9 =✓25 = 5 m

Ans is (iii) 5 m