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Home » Choose the correct answer from the given four options in the following questions: The distance between the points A (0, 6) and B (0, –2) is (A) 6 (B) 8 (C) 4 (D) 2
Choose the correct answer from the given four options in the following questions: The distance between the points A (0, 6) and B (0, –2) is (A) 6 (B) 8 (C) 4 (D) 2
CBSE | Class 10 | Coordinate Geometry | Exercise 7.1 | Maths | NCERT Exemplar
Choose the correct answer from the given four options in the following questions: The distance between the points A (0, 6) and B (0, –2) is (A) 6 (B) 8 (C) 4 (D) 2

Solution:

Option (B) 8 is the correct answer.

The formula for distance : {{d}^{2}}~=\text{ }{{({{x}_{2}}~\text{ }{{x}_{1}})}^{2}}~+\text{ }{{({{y}_{2}}~\text{ }{{y}_{1}})}^{2}}

According to the given question,

We have,

{{x}_{1}}~=\text{ }0,\text{ }{{x}_{2}}~=\text{ }0

{{y}_{1}}~=\text{ }6,\text{ }{{y}_{2}}~=\text{ }\text{ }2

{{d}^{2}}~=\text{ }{{\left( 0\text{ }\text{ }0 \right)}^{2}}~+\text{ }{{\left( \text{ }\text{ }2\text{ }\text{ }6 \right)}^{2}}

d=\text{ }\surd ({{\left( 0 \right)}^{2}}+\text{ }{{\left( -8 \right)}^{2}})

d\text{ }=\text{ }\surd 64

d\text{ }=\text{ }8\text{ }units

As a result, the distance between A (0, 6) and B (0, 2) is 8

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