Sponsor Area

Coordinate Geometry

Question
CBSEENMA10009676

In what ratio does the x-y-2=0 divided the line segment joining the points A(3,-1) and B(8,9)?

Solution

let t line x-y-2=0 divid t line segment in t ratio k : 1 at point C
so coordinates of C are

open parentheses fraction numerator 8 straight k plus 3 over denominator straight k plus 1 end fraction close parentheses comma open parentheses fraction numerator 9 straight k minus 1 over denominator straight k plus 1 end fraction close parentheses

C lies on x - y - 2 = o

so, subs coordinates of x,y in tis eq.
WiredFaculty