from an external point P tangents PA and PB are drawn to a circle.From a point Q on major arc AB, perpendiculars are drawn to AB, PA and PB.Prove that the perpendicular to AB is the mean proportional between the other two perpendiculars.
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Step-by-step explanation:
From figure,
CA is perpendicular to AP and CB is perpendicular to BP
Again AC = BC = 4 (radius of the circle)
Also AP = PB = (Tangents from point P)
So, BPAC is a square.
=> AP = PB = BC = CA = 4 cm
So, length of tangents are 4 cm each
therefore option B will be the answer.
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thanks for free points
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