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The measure of OP from the given figure will be,

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20cm

30cm

10cm

15cm

answer is A.

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Detailed Solution

By Pythagoras theorem,

h y p o t e n u s e 2 = b a s e 2 + p e r p e n d i c u l a r 2

Given is the following figure,
Question Image

From the figure we have,

P

is a point of a circle with centre

O

.
Radius is

12 cm

.
A tangent

P Q

of length

16 cm

O Q = 20 cm

∠ O P Q = 90 °

Applying Pythagoras theorem in

Δ O P Q

Thus, the length of OQ is 20cm.
Therefore the correct option is 1.

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