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Intersection between Secants

In the given ...

Question

In the given figure, two chords $A B$ and $C D$ intersect at $P$ . If $C P = 2$ cm, $D P = 6$ cm, $A P = 3$ cm, Find $B P$ .

1 cm

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2 cm

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3 cm

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4 cm

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Solution

The correct option is C 4 cm
We know that $A P \times B P = C P \times D P$
$3 \times B P = 2 \times 6$
$B P =$ $\frac{12}{3}$
$B P = 4$ cm

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Similar questions

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 =__.

A B

C D

P

A P = 4

P B = 6

C P = 2

P D

A B

C D

P

C P = 4 c m, A P = 8 c m, P B = 2 c m

P D

A P = 12 c m, A B = 15 c m, C P = P D

C D

A B

C D

P

A P = 12 c m, P B = 6 c m

C P = 2 c m

P D

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