Question

The nearest point from the origin is
1). (2,-3). 2). (5,0). 3). (2,-1). 4)(1,3)

Answer 1

Step-by-step explanation:

The Co-ordinates of the Origin = (0, 0)

We Know that Distance between two points (x₁, y₁)  and (x₂, y₂)

= √( (x₂ - x₁)² + (y₂ - y₁)² )   ...      [ Distance Formula ]

∴ We will find out the distance of the give four points from the Origin. The point whose distance from the Origin is the least is nearest to the origin.

∴ Distance between (2, -3)  and (0, 0)

= √ (2 - 0)² + (-3 - 0)²

= √ (2² + 3²)

= √ (4 + 9)  =  √13 ≈ 3.606

Distance between (5, 0) and (0, 0)

= √(5 - 0)² + (0 - 0)²

= √(5² + 0²

= √25  = 5

Distance between (2, -1) and (0, 0)

= √(2 - 0)² + (-1 - 0)²

= √(2² + 1²)

= √5  ≈  2.236

Distance between (1, 3) and (0, 0)

= √(1 - 0)² + (3 - 0)²

= √(1² + 3²)

= √10  ≈  3.162

∴ Distance of point (2, -1) is least from the origin (2.236)  hence it is the nearest point from the Origin.

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Answer 2

Answer:

(2,-1) is the correct answer

Step-by-step explanation:

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