Question

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

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

Solution

## The correct options are A (2,0) B (10,0)Let the point on x−axis be (x,0) Now, using distance formula 5=√(x−6)2+(0+3)2⇒5=√x2+36−12x+9 Squaring both sides, we get 25=x2−12x+45⇒x2−12x+20=0⇒(x−2)(x−10)=0∴x=2,10 Hence, the required points on x−axis are (2,0) and (10,0).Mathematics

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