Maths / Coordinate Geometry / Distance Formula

QUESTION
 

A point on x - axis which is equidistance from the points (3,4) and (2,5) is

OPTIONS
A. 

(2,0)

B. 

(-2,0)

C. 

(4,0)

D. 

None of the above

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

Let the point on x-axis be P(x,o) which is equidistance from A(3,4) and (2,5).

i.e.,                                  PA=PB

Rightarrow             large sqrt{(x-3)^2+(4-0)^2}=sqrt{(x-2)^2+(5-0)^2}

Rightarrow                        large x^2-6x+9+16=x^2-4x+4+25

Rightarrow                                                          2x = -4 Rightarrow x = -2

Thus, point = (-2,0)

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