Q10. A circle has a radius 2 cm. It is divided into two segments by a chord of length 2√2cm.
Prove that the angle subtended by the chord at a point in minor
segment is 135
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Intersecting chords theorem states that when two chords intersect each other inscale a circle, the product of their segments are equal also, diameter is the longest chord of the circle also now, draw a diameter of the circle passing through points P and M. it is the line XY
Step-by-step explanation:
Length XY=2∗ radius =2∗13=26cm
MY=PY−PM=13−5=7cm
XM=XP+PM=13+5=18cm
By the intersecting chords theorem we have
CM∗PM=XM∗YM=18∗7=126
∴CM∗PM=126
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