In an examination hall, students are seated at a distance from each other, to maintain the social distance due to CORONA virus pandemic. Let three students sit at points 𝐀, 𝐁 and 𝐂 whose coordinates are (𝟐, −𝟑), (𝟒,𝟐), and (𝟖, 𝟓) respectively.

What is the midpoint of line segment joining 𝐀 and 𝐂?

(2, 5)

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(5, 2)

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(1, 5)

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(5, 1)

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Solution

The correct option is D (5, 1)
The midpoint of A and C can be calculated by the midpoint formula as
$(\frac{2 + 8}{2}, \frac{- 3 + 5}{2})$ = (5, 1)
Hence midpoint of AC is (5, 1).

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In an examination hall, students are seated at a distance from each other, to maintain the social distance due to CORONA virus pandemic. Let three students sit at points 𝐀, 𝐁 and 𝐂 whose coordinates are (𝟐, −𝟑), (𝟒,𝟐), and (𝟖, 𝟓) respectively. Based on the above information, answer the following questions.
1. What is the distance between 𝐀 and 𝐂?

Q. In an examination hall, students are seated at a distance from each other, to maintain the social distance due to CORONA virus pandemic. Let three students sit at points 𝐀, 𝐁 and 𝐂 whose coordinates are (𝟐, −𝟑), (𝟒,𝟐), and (𝟖, 𝟓) respectively.

If an invigilator at the point 𝐈, lying on the straight line joining 𝐁 and 𝐂 such that it divides the distance between them in the ratio of 𝟐 :𝟑. Then what are the coordinates of 𝐈?

Q. In an examination hall, students are seated at a distance from each other, to maintain the social distance due to CORONA virus pandemic. Let three students sit at points 𝐀, 𝐁 and 𝐂 whose coordinates are (𝟐, −𝟑), (𝟒,𝟐), and (𝟖, 𝟓) respectively. Based on the above information, answer the following questions.
1. What is the distance between 𝐀 and 𝐂?
2. What is the midpoint of line segment joining 𝐀 and 𝐂?
3. If an invigilator at the point 𝐈, lying on the straight line joining 𝐁 and 𝐂 such that it divides the distance between them in the ratio of 𝟐 :𝟑. Then what are the coordinates of 𝐈?

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The correct option is D (5, 1)The midpoint of A and C can be calculated by the midpoint formula as (2+82,−3+52) = (5, 1) Hence midpoint of AC is (5, 1).

The correct option is D (5, 1)
The midpoint of A and C can be calculated by the midpoint formula as
$(\frac{2 + 8}{2}, \frac{- 3 + 5}{2})$ = (5, 1)
Hence midpoint of AC is (5, 1).