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Question

The number of points on x-axis which are at a distance c(c<3) from the points (2, 3) is


A

2

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B

1

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C

Infinite

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D

None of these

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Solution

The correct option is D

None of these


Let a point on x-axis be (x1,0), then its distance
from the point (2,3)=(x12)2+9=c
or (x12)2=c29x12=c29
But c<3c29<0
x1 will be imaginary


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