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Previous Year Paper

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CAT-2005-Previous Years Paper

Question
9 out of 30
 

What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm?



A 1 or 7
B 2 or 14
C 3 or 21
D 4 or 28

Ans. D

Case I: chords on same side of the centre.

OB2 = OA2 – AB2 = 202 – 162 = 144

OB = 12

OD2 = 202 – 122 = 400 – 144 = 256

OD = 16

BD = 4 cm

Case II: Chords on opposite side of the centre

AB = 32 cm

CD = 24 cm

OP =

=

OP = 12 cm

and OQ =

=

OQ = 16 cm

Distance = PQ = 12 + 16 = 28 cm.

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