Four friends Ayush, Raj , kaveri and Neeta are playing a game. They formed a coordinate plan and sat at various position on the cartesian plane. The coordinates of their positions are (2,4), (-2,4), (-2,-4), (2,-4)respectively. Based on the given situation, answer the following questions
1.Distance between Ayush and Raj is?
2.The quadrant in which Kaveri is sitting is?
3. The shape formed by joining the positions of four friends in order is?
4.The area of the shape formed by joining the positions of four friends in (sq. units) is?
Answers
Given : Four friends Ayush, Raj , Kaveri and Neeta are playing a game. They formed a coordinate plan and sat at various position on the cartesian plane. The coordinates of their positions are (2,4), (-2,4), (-2,-4), (2,-4) respectively.
To Find : Distance between Ayush and Raj
The quadrant in which Kaveri is sitting
The shape formed by joining the positions of four friends in order
The area of the shape formed by joining the positions of four friends
Solution:
Distance between Ayush (2,4) and Raj (-2,4) is
= ( 2 - (-2) ) = 4 units
The quadrant in which Kaveri (-2,-4) is sitting
3rd Quadrant as both x and y are negative
The shape formed by joining the positions of four friends in order
is Rectangle as opposite sides are equal and Diagonals are equal but adjacent sides are not equal
Area = 4 * 8 = 32 sq units
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