# <span lang="EN-US

(i) Let radius OB = OD = 5 cm

Chord AB = 8 cm

Chord CD = 6 cm

BP = (1/2) AB

BP = (1/2) 8 = 4 cm

DQ = (1/2) CD

DQ = (1/2) 6 = 3 cm

In triangle OPB,

OP2 = OB2 - BP2

OP2 = 52 - 42

OP2= 25 - 16

OP2= 9

OP = 3 cm

In triangle OQD,

OQ2 = OD2 - DQ2

OQ2 = 52 - 32

OQ2= 25 - 9

OQ2= 16

OQ = 4 cm

Now,

PQ = OQ – OP = 4 – 3 = 1

Hence, distance between chords = 1 cm.

(ii) Let radius OA = OC = 5 cm

Chord AB = 8 cm

Chord CD = 6 cm

AP = (1/2) AB

AP = (1/2) 8 = 4 cm

CQ = (1/2) CD

CQ = (1/2) 6 = 3 cm

In triangle OAP,

OP2 = OA2 - AP2

OP2 = 52 - 42

OP2= 25 - 16

OP2= 9

OP = 3 cm

In triangle OQD,

OQ2 = OC2 - CQ2

OQ2 = 52 - 32

OQ2= 25 - 9

OQ2= 16

OQ = 4 cm

Now,

PQ = OP + OQ = 3 + 4 = 7

Hence, distance between chords = 7 cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  IMP Qs Related with Circles For Boards44 mins  Arc of Circle And Related IMP Qs40 mins  Chords Of Circles42 mins  IMP Theorems And Their Application43 mins  Circles- All kinds of Questions36 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

PQ and RQ are theRS Aggarwal & V Aggarwal - Mathematics

In a circle of raRD Sharma - Mathematics

Two equal circlesRD Sharma - Mathematics

Angle formed in mRD Sharma - Mathematics

If AB is aRD Sharma - Mathematics

The greatest chorRD Sharma - Mathematics

If two diameters RD Sharma - Mathematics

<span lang="EN-USRS Aggarwal & V Aggarwal - Mathematics