Q. 1 G4.3( 12 Votes )

Choose correct alternative answer and fill in the blanks.The lengths of parallel chords which are on opposite sides of the center of a circle are 6 cm and 8 cm. If radius of the circle is 5 cm, then the distance between these chords is .....A. 2 cmB. 1 cmC. 8 cmD. 7 cm

Let, length of AB = 6cm and length of CD = 8cm

OB = OC = 5cm

We know that a perpendicular drawn from the center of a circle on its chord bisects

the chord.

AM = MB = 3cm

Also, CN = ND = 4cm

In ΔOMB,

OB2 = OM2 + MB2

52 = OM2 + 32

OM2 = 25-9

OM2 = 16

OM = 4cm

In ΔONC,

OC2 = ON2 + CN2

52 = ON2 + 42

ON2 = 25-16

ON2 = 9

ON = 3cm

Distance between AB and CD = OM + ON = 4 + 3 = 7cm

Hence the correct option is D.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
RD Sharma | Extra Qs. of Cyclic Quadrilaterals31 mins
Smart Revision | Most Important Questions of Circles45 mins
Smart Revision | World of Circles44 mins
NCERT | Imp Qs Discussion on Circles39 mins
Important Questions on Circles29 mins
Some Imp Concepts Of Circles44 mins
NCERT | Imp. Qs. on Circles43 mins
Let's Solve Good Questions on Circle41 mins