A point moves in such a way that its distance from origin is alwa… - Vidyadip

MCQ

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

A
${x^2} + {y^2} = 4$
✓
${x^2} + {y^2} = 16$
C
${x^2} + {y^2} = 2$
D
None of these

✓

Answer

Correct option: B.

${x^2} + {y^2} = 16$

b
(b) Required locus is $\sqrt {{{(x - 0)}^2} + {{(y - 0)}^2}} = 4$
$ \Rightarrow \,\,{x^2} + {y^2} = 16$.

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