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Intercept Made by Circle on Axes

A circle touc...

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

O' is centre and from figure,

Radius(r)= $\sqrt{(4)^{2} + (3)^{2}} = 5$

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