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Question

The point(s) on the xaxis which is (are) at a distance of 5 units from the point (6,3), is (are)


A
(2,0)
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B
(10,0)
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C
(3,0)
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D
(5,0)
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Solution

The correct options are
A (2,0)
B (10,0)
Let the point on xaxis be (x,0)
Now, using distance formula
5=(x6)2+(0+3)25=x2+3612x+9
Squaring both sides, we get
25=x212x+45x212x+20=0(x2)(x10)=0x=2,10

Hence, the required points on xaxis are (2,0) and (10,0).

Mathematics

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