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Tangents from a Given Point

In the given ...

Question

In the given below figure, from an external point P, a tangent PT and a secant PAB is drawn to a
circle with centre O. ON is perpendicular on the chord AB. Prove that PA. PB = PT2.

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Solution

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Similar questions

Q. In figure,from an external point

P

P T

and a line segment

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is drawn to a circle with centre

O

O N

is perpendicular on the chord

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(i) P A . P B = {P A}^{2} - {A N}^{2}

(i i) {P N}^{2} - {A N}^{2} = {O P}^{2} - {O T}^{2}

(i i i) P A . P B = {P T}^{2}

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is a secant to a circle of centre

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intersecting the circle of

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P A \times P B = P T^{2}

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P T

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P A . P B = P T^{2}

Q. In the given figure,

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P B

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Q. From an external point P, two tangents PA and PB are drawn to the circle with centre O. Prove that OP is the perpendicular bisector of AB.

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