Question

3. Covid-19 vaccination) Mr. Jaskirat Singh is living in Jalandhar Punjab. As per the government he takes his dose of vaccine in the months of June 2021 in the Civil Hospital Jalandhar. Now he want to take his second dose. The following map is showing three vaccination centres near his home. O represents his home. Observe this condition and answer the following questions. Vaccination centre AB & C as shown in the figure​

Answer 1

Answer:

1. a

2. c

3. b

4. c

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Answer 2

Given the co-ordinates of three vaccination centers , answer the given questions.

Explanation:

• Given are three vaccination centers A, B, and C.
• Given is that Mr. Jaskirat Singh is at the origin then we the co- ordinates of the vaccination centers (from the figure) as,                              $J(0,0),\ A(3,1),\ B(6, 4)\ and\ C(8,6)$  
• Hence, the nearest vaccination center is the one having nearest co- ordinates to the origin. That is vaccination center A.
• Now to determine the ratio that B divides the line joining A and C we have,                                                                                                                        $AB=\sqrt{(6-3)^2+(4-1)^2} \ \ \ \ \ \ \ \ BC= \sqrt{(6-8)^2+(4-6)^2}\\->AB= 3\sqrt{2},\ \ BC=2\sqrt{2} \\->\frac{AB}{BC}=\frac{3}{2}$                         The ration that B divided line AC in is $3:2$
• Now the distance between vaccination centers A and C is,                                  $AC=AB+BC\\AC=3\sqrt{2}+2\sqrt{2} \\->AC=5\sqrt{2}$   -----ANSWER
• If he went B but the doses are finished the nearest center is C and that distance is , $BC=2\sqrt{2}$  
• The distance between his home and vaccination center C is,                           $JC=\sqrt{(8-0)^2+(6-0)^2}\\JC=10$  -----ANSWER