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O is the centre of the circle having radius 5 cm. AB and AC are two chords such that AB=AC=6cm. If OA meets BC at P, then OP = ___
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here's ur answer dude .....
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AB^2 = AP^2 + BP^2
6^2 = AP^2 + BP^2
36 = AP^2 + BP^2 eq 1
OB^2 = OP^2 + BP^2
5^2 = OP^2 + BP^2
25 = OP^2 + BP^2 eq2
eq1 -eq2
11 = AP^2 -OP^2
11 = (AP+OP)(AP-OP)
11 = OA(AP-OP)
11 = 5(AP-OP)
AP -OP = 11/5
AP + OP = 5
2OP = 5- 11/5
2OP = 14/5
OP = 7/5
OP= 1.4 cm
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