In the given figure, chords AB and CD when extended meet at P. If AB = 4 cm, BP = 6 cm, DP = 5 cm, then CD =______.

12 cm

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10 cm

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8 cm

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7 cm

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Solution

The correct option is D 7 cm

If two chords intersect externally, then $P A \times P B = P C \times P D$

$10 \times 6 = P C \times 5$ ........ (PA = AB + BP)

PC = 12 cm

CD + DP = 12 cm

CD = 12 – 5 ......... (DP = 5cm)

CD =7cm

Hence (D)

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In the given figure, chords AB and CD when extended meet at P. If AB = 4 cm, BP = 6 cm, DP = 5 cm, then CD =______.

The correct option is D 7 cm If two chords intersect externally, then PA×PB=PC×PD 10×6=PC×5 ........ (PA = AB + BP) PC = 12 cm CD + DP = 12 cm CD = 12 – 5 ......... (DP = 5cm) CD =7cm Hence (D)

The correct option is D 7 cm

If two chords intersect externally, then $P A \times P B = P C \times P D$

$10 \times 6 = P C \times 5$ ........ (PA = AB + BP)

PC = 12 cm

CD + DP = 12 cm

CD = 12 – 5 ......... (DP = 5cm)

CD =7cm

Hence (D)