Question

1.
From the figure, find the length of PQ

PA=2cm & CQ=4cm
A 2 cm
B 4cm
C 6cm
D 8cm



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Answer 1

Step-by-step explanation:

OC is perpendicular on chord AB

∴OC bisects the chord AB

⇒AC=CB

Now,

AC+CB=AB

⇒AC+CB=8

⇒AC=

2

8

⇒4cm

△OCA is a right angled triangle

∴AO

2

=AC

2

+OC

2

⇒5

2

=4

2

+OC

2

⇒5

2

−4

2

=OC

2

⇒OC

2

=9

⇒OC=3

Since, OD is the radius of the circle

∴OA=OD=5cm

CD=OD−OC

⇒5−3=2cm

Answer 2

Step-by-step explanation:

Hope it will help you...❤❤❤