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Question: A point moves in such a way that its distance from origin is always 4. Then the locus of the point i...

A point moves in such a way that its distance from origin is always 4. Then the locus of the point is-

A

x2 + y2 = 4

B

x2 + y2 = 16

C

x2 + y2 = 2

D

None of these

Answer

x2 + y2 = 16

Explanation

Solution

Let the point (h, k)

given h2+k2\sqrt{h^{2} + k^{2}} = 4

Ž h2 + k2 = 16

\ x2 + y2 = 16