Mathematics
If PT is tangent to the circle at point T and PAB is secant of this circle. Then which of the following statements is true ?
PT2 = PA × AB
PT2 = TB × PA
PT2 = PA × PB
PT2 = PB × TB
Answer
We know that,
If a chord and a tangent intersect externally, then the product of the lengths of the segments of the chord is equal to the square of the length of the tangent from the point of contact to the point of intersection.
∴ PA × PB = PT2.
Hence, Option 3 is the correct option.
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