CASE STUDY QUESTION 44-Class X-Maths

CASE STUDY QUESTION 44-Class X-Maths

Students of a school are standing in rows and columns in their playground for a drill practice. A, B, C and D are the positions of four students as shown in the figure.

(a) What are the coordinates of A and B respectively?
(i) A(3, 5); B(7, 8) (ii) A(5, 3); B(8, 7)
(iii) A(3, 5); B(7, 9) (iv) A(5, 3); B(9, 7)

Sol. (iii) A(3, 5); B(7, 9)

(b) What are the coordinates of C and D respectively?
(i) C(11, 5); D(7, 1) (ii) C(5, 11); D(1, 7)
(iii) C(5, 11); D(7, 1) (iv) C(5, 11); D(-1, 7)

Sol. (i) C(11, 5); D(7, 1)

(c) Is it possible to place Ram(R) in the drill in such a way that he is equidistant from all the four students A, B, C and D?
(i) yes (ii) not possible
(iii) not sure (iv) none

Sol. (i) yes

(d) What are the coordinates of the position of Ram?
(i) (7, 5) (ii) (5, 7)
(iii) (7, 7) (iv) (5, 5)

Sol. (i) (7, 5)

(e) What is the distance between B and D?
(i) 5 units (ii) 14 units
(iii) 8 units (iv) 10 units

Sol. (iii) 8 units