Relation between Sides of Quadrilateral Formed by Tangents on a Circle
AC is the tan...
Question
AC is the tangent to the circle having O as the centre at point B. What would be the length of AM?
A
3 cm
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B
2 cm
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C
2.5 cm
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D
None of these
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Solution
The correct option is B 2 cm
As we know, OB⟂AC,
So, ∠OBA=900.
Apply Pythagoras Theorem in ΔOBA OA2=OB2+AB2 OA2=(3)2+(4)2 OA2=9+16=25 OA=√25 OA=5cm
And we know that, OM=OB=3cm [ Equal radii of the circle]
So, AM=OA−OM AM=5−3=2cm
Hence, b is the correct option.