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Multiple choice

A chord $AB$ drawn from the point $A(0,3)$ at circle $x^2+4x+(y-3)^{2}=0$ and it meets to $M$ in such a way that $AM=2AB$, then the locus of point $M$ will be

  1. Straight line

  2. Circle

  3. Parabola

  4. Hyperbola

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The locus of a point M such that AM = k*AB where A is fixed and B is on a circle is a circle.

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