Exams › SSC CGL (Prelims) › General

Two chords $XY$ and $MN$ intersect at point $E$ inside a circle. If $XE = 4$ cm, $EY = 9$ cm, and $ME = 3$ cm, find the length of $EN$.

1. 10 cm
2. 15 cm
3. 14 cm
4. 12 cm

Correct answer: 12 cm

Solution

For two chords intersecting inside a circle, the products of the segments are equal: $XE \cdot EY = ME \cdot EN$. Substituting the given values gives $4 \times 9 = 3 \times EN$. So $EN = 12$ cm.

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