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If the Points(X, 4) Lies on a Circle Whose Centre is at the Origin and Radius is 5, Then X = - Mathematics

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Question

If the points(x, 4) lies on a circle whose centre is at the origin and radius is 5, then x =

Options

  •  ±5

  •  ±3

  • 0

  •  ±4

MCQ

Solution

It is given that the point A(x, 4) is at a distance of 5 units from origin O.

So, apply the distance formula to get,

`5^2 = (x)^2 + 4^2`

Therefore,

`x^2 = 9`

So,

`x = +- 3`

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Chapter 6: Co-Ordinate Geometry - Exercise 6.7 [Page 65]

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RD Sharma Mathematics [English] Class 10
Chapter 6 Co-Ordinate Geometry
Exercise 6.7 | Q 29 | Page 65

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