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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

No figure is Given.
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Similar questions

Q. In figure,from an external point

P

P T

and a line segment

P A B

is drawn to a circle with centre

O

O N

is perpendicular on the chord

A B

(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}

P A B

is a secant to a circle of centre

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intersecting the circle of

A

B

P T

is tangent segment, then prove that-

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

Q. From an external point

P

P T

and a line segment

P A B

are drawn to a circle with center

O

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

Q. In the given figure,

P A

P B

are two tangents drawn from an external point

P

to a circle with centre

O

O P

is the right bisector of line segment

A B

.

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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