Chord PY is congruent to Chord NL of a circle with center 0. Option A is correct.
Given,
A circle with center o is shown with two chords equidistant from the center which is 3 units.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
Since the property of the circle describes that chords that are equidistant from the center of the circle are equal in length,
In the given question both the given chords are equidistant from the center of the circle i.e 3 units, so the Chord PY is congruent to Chord Nl.
Thus, Chord PY is congruent to Chord NL of the circle with center o. Option A is correct.
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