PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA & PB are perpendicular to each other, then the length of each tangent is:

3 cm

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4 cm

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5 cm

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6 cm

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Solution

The correct option is
B

4 cm

Since, AP $⊥$ PB, CA $⊥$ AP, CB $⊥$ BP
And AC = CB = radius of the circle,
Therefore $B P A C$ is a square
$\Rightarrow A P = P B = B C = C A = 4 c m$

Therefore, length of each tangent is 4 cm.

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PA and PB are two tangents drawn from an external point P to a circle with centre C and radius 4 cm. If PA & PB are perpendicular to each other, then the length of each tangent is:

The correct option is B 4 cmSince, AP ⊥ PB, CA ⊥ AP, CB ⊥BP And AC = CB = radius of the circle, Therefore BPAC is a square ⇒AP=PB=BC=CA=4cm Therefore, length of each tangent is 4 cm.

The correct option is
B

4 cm

Since, AP $⊥$ PB, CA $⊥$ AP, CB $⊥$ BP
And AC = CB = radius of the circle,
Therefore $B P A C$ is a square
$\Rightarrow A P = P B = B C = C A = 4 c m$

Therefore, length of each tangent is 4 cm.