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Intersecting Chord Properties of Circle

Chords AB a...

Question

Chords $A B$ and $C D$ of circle intersect at $P$ . If $A P = 12 c m, P B = 6 c m$ and $C P = 2 c m$ , the length of $P D$ , in cm, is

12

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24

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36

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48

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Solution

The correct option is C $36$
Given, $A B$ and $D C$ are chords
$A P = 12 P B = 6 P C = 2 D P = ?$
then,
$A P \times P B = P C \times P D 12 \times 6 = 2 \times P D P D = 36$

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Chords AB and CD of circle intersect at P. If AP=12 cm,PB=6 cm and CP=2 cm, the length of PD, in cm, is

The correct option is C 36Given, AB and DC are chordsAP=12PB=6PC=2DP=?then,AP×PB=PC×PD12×6=2×PDPD=36

Chords $A B$ and $C D$ of circle intersect at $P$ . If $A P = 12 c m, P B = 6 c m$ and $C P = 2 c m$ , the length of $P D$ , in cm, is

The correct option is C $36$
Given, $A B$ and $D C$ are chords
$A P = 12 P B = 6 P C = 2 D P = ?$
then,
$A P \times P B = P C \times P D 12 \times 6 = 2 \times P D P D = 36$