Answer :

When chords are drawn on either side of diameter.



O is the centre of the circle and IJ is the diameter.


CD and EF are two parallel chord on either side of the diameter.


CD = 6 cm and EF = 8 cm


OH is the perpendicular drawn on CD from centre.


OG is the perpendicular drawn on EF from centre.


In ΔOGE we have,


OGE = 90° [ OG is perpendicular on EF]


EG = EF/2 = 4 cm [perpendicular drawn from centre bisects chord]


OE = 5 cm [radius]



In ΔOHC we have,


OHC = 90° [ OH is perpendicular on CD]


HC = CD/2 = 3 cm [perpendicular drawn from centre bisects chord]


OC = 5 cm [radius]



Distance between the chords = HG = OH + OG = 4 + 3 = 7 cm


When the chords are drawn on same side of diameter:



O is the centre of the circle and IJ is the diameter.


CD and EF are two parallel chords on same side of the diameter.


CD = 6 cm and EF = 8 cm


OH is the perpendicular drawn on CD from centre.


OG is the perpendicular drawn on EF from centre.


In ΔOGE we have,


OGE = 90° [ OG is perpendicular on EF]


EG = EF/2 = 4 cm [perpendicular drawn from centre bisects chord]


OE = 5 cm [radius]



In ΔOHC we have,


OHC = 90° [ OH is perpendicular on CD]


HC = CD/2 = 3 cm [perpendicular drawn from centre bisects chord]


OC = 5 cm [radius]



Distance between the chords = HG = OH – OG = 4 – 3 = 1 cm


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Arc of Circle And Related IMP QsArc of Circle And Related IMP QsArc of Circle And Related IMP Qs40 mins
IMP Qs Related with Circles For BoardsIMP Qs Related with Circles For BoardsIMP Qs Related with Circles For Boards44 mins
Chords Of CirclesChords Of CirclesChords Of Circles42 mins
IMP Theorems  And Their ApplicationIMP Theorems  And Their ApplicationIMP Theorems And Their Application43 mins
Circles- All kinds of QuestionsCircles- All kinds of QuestionsCircles- 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
caricature
view all courses
RELATED QUESTIONS :

In a circle, two Kerala Board Mathematics Part-1

The bottom side oKerala Board Mathematics Part-1

In a circle of raKerala Board Mathematics Part-1

In a circle, a chKerala Board Mathematics Part-1