Question

The given figure shows a circle with centre
O. P is mid-point of chord AB.
Show that OP is perpendicular to AB.

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Answer 1

Answer:

join oa and ob

in triangle oap and obp

oa=ob (radius)

op is comm.

given ap= pb

hence triangle oap and obp are congruent

by cpct angle opb = angle opa

wkt ,opb+opa=180

hence

2opb=180

opb=90

opb=opa=90

hence proved

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