ICSE Class 10CISCE
Share
Notifications

View all notifications

Chords Ab and Cd of a Circle When Extended Meet at Point X. Given Ab = 4 Cm, Bx = 6 Cm and Xd = 5 Cm, Calculate the Length of Cd. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?
ConceptTangent Properties - If a Chord and a Tangent Intersect Externally, Then the Product of the Lengths of Segments of the Chord is Equal to the Square of the Length of the Tangent from the Point of Contact to the Point of Intersection

Question

Chords AB and CD of a circle when extended meet at point X. Given AB = 4 cm, BX = 6 cm and XD = 5 cm, calculate the length of CD.

Solution

We know that XB.XA = XD.XC
Or, XB.(XB + BA) = XD.(XD + CD)
Or, 6(6 + 4) = 5(5 + CD)
Or, 60 = 5(5 + CD)
Or, 5 + CD  = `60/5`= 12
Or, CD = 12 − 5 = 7 cm.

  Is there an error in this question or solution?

APPEARS IN

Solution Chords Ab and Cd of a Circle When Extended Meet at Point X. Given Ab = 4 Cm, Bx = 6 Cm and Xd = 5 Cm, Calculate the Length of Cd. Concept: Tangent Properties - If a Chord and a Tangent Intersect Externally, Then the Product of the Lengths of Segments of the Chord is Equal to the Square of the Length of the Tangent from the Point of Contact to the Point of Intersection.
S
View in app×