In an examination hall the desks lie on a grid marked in metres. Ankit sits at A(3, 2), Meera at M(9, 10) and Rohan at R(-2, 14). Which two students sit closest together?

Question

Accepted Answer

Ankit and Meera, 10 m apart. AM = √(9-3)^2 + (10-2)^2 = √36+64 = 10, MR = √(-2-9)^2 + (14-10)^2 = √121+16 = √137 11.7 and AR = √(-2-3)^2 + (14-2)^2 = √25+144 = 13. The smallest is AM, so Ankit and Meera are closest, 10 m apart. Rohan looks close to Meera because their x-coordinates are near, but the 4-unit gap in y still leaves MR the middle distance.

In an examination hall the desks lie on a grid marked in metres. Ankit sits at A(3, 2), Meera at M(9, 10) and Rohan at R(-2, 14).
Which two students sit closest together?

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More Class 10 Distance Formula practice

In an examination hall the desks lie on a grid marked in metres. Ankit sits at A(3, 2), Meera at M(9, 10) and Rohan at R(-2, 14).Which two students sit closest together?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Distance Formula practice

In an examination hall the desks lie on a grid marked in metres. Ankit sits at A(3, 2), Meera at M(9, 10) and Rohan at R(-2, 14).
Which two students sit closest together?