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Question

If a semicircle with 'AB' as diameter and having a radius of 5 cm is drawn as shown in below figure then the coordinates of B is___.


A

(3,0)

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B

(-17,0)

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C

(-2,0)

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D

(-12,0)

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Solution

The correct option is A

(3,0)


Given coordinates of A=(-7,0) and radius of semicircle =5 cm. From the figure, we can see that B lies an X-axis.

Let point B =(x,0)

length of diameter 2× Radius of circle

Distance between A and B =2×5

(x(7))2=10

(x+7)2=102

x+7=±10

x+7=10 (or) x+7=10

x=3 (or) x =-17

B=(3,0) (or) (-17,0)

From the figure we can see that x-coordinates of B is positive.

B=(3,0)


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