Question

x-अक्ष पर उस बिन्दु को ज्ञात करें जो निम्न बिन्दु-युग्मों से समदूरस्थ है ? (i) (7,6) और (-3, 4) (ii) (3, 2) और (-5,-2)(iii) (2,-5) और (-2,9)​

Answer 1

Let A(x1,y1) ; B(x2,y2) are points in a plane.

Then distance between them is defined as

d = √{(x2-x1)² +(y2-y1)²}

As the point asked is on x- axis, take it as (x,0)

1) Using the distance formula, find the distance of point (x,0) from (7,6). Now equate this with the distance of point (x,0) from (-3,4).

Then by solving the equation in 'x' you get the value of x.