Multiple choice

$M$ is a fixed point in a plane and a point $P$ moves in the same plane such that $PM =10 cm$. State: (i) The name of the figure formed, (ii) The length of the radius of the circle, (iii) The length of the diameter of the circle. Can a chord of length of $16 cm$ be drawn in this figure?

  1. $ (i)circle,\quad (ii) 10cm,\quad (iii) 20cm,\quad (iii) yes$
  2. $ (i)circle,\quad (ii)20cm,\quad (iii) 20cm,\quad (iii) no$
  3. $ (i)circle,\quad (ii)10cm,\quad (iii)10cm,\quad (iii) yes$
  4. $ (i)circle,\quad (ii)20cm,\quad (ii) 10cm,\quad (iii)yes$
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A Correct answer
Explanation

A point at a fixed distance of 10 cm from M traces a circle with centre M and radius 10 cm. Its diameter is 20 cm, and a chord of length 16 cm can be drawn because it is shorter than the diameter.

AI explanation

Since point P maintains a constant distance of 10 cm from the fixed point M, the figure formed is a circle with a radius of 10 cm. The diameter is twice the radius, making it 20 cm. A chord of 16 cm can be drawn because its length is less than the diameter of 20 cm.

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