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The distance between the points A(0, 6) and B(0, –2) is ______. - Mathematics

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Question

The distance between the points A(0, 6) and B(0, –2) is ______.

Options

  • 6

  • 8

  • 4

  • 2

MCQ
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Solution

The distance between the points A(0, 6) and B(0, –2) is 8.

Explanation:

Distance formula: d2 = (x2 – x1)2 + (y2 – y1)2

According to the question,

We have,

x1 = 0, x2 = 0

y1 = 6, y2 = – 2

d2 = (0 – 0)2 + ( – 2 – 6)2

d = `sqrt((0)^2 + (- 8)^2`

d = `sqrt(64)`

d = 8 units

Therefore, the distance between A(0, 6) and B(0, –2) is 8.

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Chapter 7: Coordinate Geometry - Exercise 7.1 [Page 78]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 7 Coordinate Geometry
Exercise 7.1 | Q 2 | Page 78

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A guard, stationed at the top of a 240 m tower, observed an unidentified boat coming towards it. A clinometer or inclinometer is an instrument used for measuring angles or slopes(tilt). The guard used the clinometer to measure the angle of depression of the boat coming towards the lighthouse and found it to be 30°.

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