I already know how to get the section formula with the help of similarity of trianglesconcept, what i want to know know is whether i can get the same formula using the concept of distance between two coordinate points,i.e. for A(x1,y1) and B(x2,y2) distance AB =now suppose that a point C divides AB in the ratio m : n, then using the distance formulaand usingcan we get coordinates of C as.

Dear Neel

You have to also apply the slope of AC= slope of CB

it will give you y-y₁/x-x₁ = y-y₂/x-x₂

as you are using only distance relation that is not sufficient.line ac and cb can be inclined also and can

 satisfy ac/cb=m/n

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IIT Delhi

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