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Question

A circle touches the y-axis at the point (0,4)and cuts the x-axis in a chord of length 6 units. The radius of the circle is


A

3

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B

4

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C

5

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D

6

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Solution

The correct option is C

5


The explanation for the correct option:

Step1. Draw the diagram :

Step-2. Calculate the radius :

In the triangle, AO'C we have

O'C=4,andOA=r(let)

Since O'C is perpendicular on AB. So, it divide ABinto two equal parts then

AC=3

By Using Pythagoras' theorem In the triangle, AO'C. we have

O'A2=O'C2+AC2r2=42+32r=16+9r=5

Hence, the correct option is C.


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