Question

Case Study Based
Reshma and Ankita are friends who work in the same office in Mumbai. They had few holidays coming together so they both decided to go to their homes represented by P and Q respectively as shown in the given graph. P and Q are connected by trains from the same station R in the Mumbai.
Answer the following questions on the basis of given information.

(i) What is the distance (in units) between origin and point P? 1
(A) √37
(B) √38
(C) √41
(D) √42

(ii) What is the distance (in units) between points P and R? 1
(A) 9√17
(B) 6√17
(C) 2√17
(D) 4√17

(iii) What is the mid-point of the line segment joining points P and R?
(A) (6, 5)
(B) (-5, 5)
(C) (4, 5)
(D) (5, 5)

(iv) Can we say that both the friends are equidistant from the station?
(A) yes
(B) no
(C) can’t say
(D) none of these

(v) Are the points P, Q and R collinear?
(A) yes
(B) no
(C) can’t say
(D) none of these

Answer 1

Answer:

Step-by-step explanation:

(i) $\sqrt{(6-0)^{2} + (1-0)^{2} } = \sqrt{37}$

(ii) $\sqrt{(9-1)^{2} + (4-6)^{2}} = 2\sqrt{17}$

(iii) $\frac{1+9}{2} = x \frac{6+4}{2}= y$ = (5, 5)

(iv) No

(v) No