Q.16. In the figure, AP = 2 cm, BP = 6 cm and CP = 3 cm, find DP
(A) 6 cm
(B) 4 cm
(C) 2 cm
(D) 3 cm
Dear Student,
Please find below the solution to the asked query:
We have two chords AB and CD intersect at P ,
AP = 2 cm , BP = 6 cm , CP = 3 cm
We know " Theorem : When two chords intersect each other inside or outside of the circle , The rectangle formed by two segment of one chord is equal in Area of rectangle formed by two segment of other chord . "
So , we get
AP BP = CP DP
So, substitute all values , we get
2 6 = 3 DP
3 DP = 12
DP = 4
So,
DP = 3 cm ,
Therefore,
Option ( B ) ( Ans )
Hope this information will clear your doubts about Comparing Quantities .
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards
Please find below the solution to the asked query:
We have two chords AB and CD intersect at P ,
AP = 2 cm , BP = 6 cm , CP = 3 cm
We know " Theorem : When two chords intersect each other inside or outside of the circle , The rectangle formed by two segment of one chord is equal in Area of rectangle formed by two segment of other chord . "
So , we get
AP BP = CP DP
So, substitute all values , we get
2 6 = 3 DP
3 DP = 12
DP = 4
So,
DP = 3 cm ,
Therefore,
Option ( B ) ( Ans )
Hope this information will clear your doubts about Comparing Quantities .
If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.
Regards