Question

Please help me guys ​

Answer 1

Solution

Let's use Distance formula.

(a) √[(0 - 0)² + (0 + 6)²] = 6

(b) √[(0 + 8)² + (0 - 0)²] = 8

(c) √[(0 + 3)² + (0 + 4)²] = 5

(d) √[(7 - 0)² + (0 - 0)²] = 7

Conclusion: 5 < 6 < 7 < 8, hence overall, 5 is smallest.

In sequence we get

→ (- 3, - 4) < (0, - 6) < (7, 0) < (- 8, 0)

Therefore (- 3, - 4) is closest to the orgin.

Answer: Option (C)

Answer 2

Answer:-

$\large{\tt{\boxed{Option(C)=(-3, - 4)}}}$

Explanation:-

By using Distance formula:-

(a) √[(0 - 0)² + (0 + 6)²] = 6

(b) √[(0 + 8)² + (0 - 0)²] = 8

(c) √[(0 + 3)² + (0 + 4)²] = 5

(d) √[(7 - 0)² + (0 - 0)²] = 7

Therefore, 5 < 6 < 7 < 8, hence overall, 5 is smallest.

In sequence we get

→ (- 3, - 4) < (0, - 6) < (7, 0) < (- 8, 0)

Therefore (- 3, - 4) is closest to the orgin.

Answer: Option (C)

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