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Find the Distance Of the Following Points from the Origin: (Iii) C (-4,-6) - Mathematics

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प्रश्न

Find the distance of  the following points from the origin:

(iii) C (-4,-6)

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उत्तर

C (-4,-6)

Let O(0,0)be the origin

`OC= sqrt((-4-0)^2 +(-6-0)^2)`

`=sqrt((-4)^2 + (-6)^2)`

`= sqrt(16+36)`

`=sqrt(52)`

`=sqrt(4 xx13)`

`=2 sqrt(13)` units

 

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पाठ 16: Coordinate Geomentry - Exercises 1

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 16 Coordinate Geomentry
Exercises 1 | Q 2.3

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If A(4, 3), B(-1, y) and C(3, 4) are the vertices of a right triangle ABC, right-angled at A, then find the value of y.


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Case Study

Trigonometry in the form of triangulation forms the basis of navigation, whether it is by land, sea or air. GPS a radio navigation system helps to locate our position on earth with the help of satellites.
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°.

  1. Make a labelled figure on the basis of the given information and calculate the distance of the boat from the foot of the observation tower.
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What is the distance of the point (– 5, 4) from the origin?


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