If -a-b- -c-d- and -a-c- b-d- are collinear thendisplaystyle frac-a-b-frac-c-d-displaystyle frac-a-d-frac-b-c-displaystyle frac-a-c-frac-d-b-displaystyle frac-a-b-frac-b-c-

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Toppr Admin · Accepted Answer

A-d - b - d- - c-b - d- - -a - c-b - d-0or -2add - ab - cd- ab - bc - ad - cd - 0or ad - bc - 0 or-xA0-ab-cdab-cd

If (a,b) (c,d) and (a-c, b-d) are collinear then
$\frac{a}{b} = \frac{c}{d}$
$\frac{a}{d} = \frac{b}{c}$
$\frac{a}{c} = \frac{d}{b}$
$\frac{a}{b} = \frac{b}{c}$

a(d - b + d) + c(b - d) + (a - c)(b - d)=0
or -2add - ab - cd+ ab - bc - ad + cd = 0
or ad - bc = 0 or ab=cd

If (a,b) (c,d) and (a-c, b-d) are collinear thenab=cdad=bcac=dbab=bc

a(d - b + d) + c(b - d) + (a - c)(b - d)=0or -2add - ab - cd+ ab - bc - ad + cd = 0or ad - bc = 0 or ab=cdab=cd

If (a,b) (c,d) and (a-c, b-d) are collinear then
$\frac{a}{b} = \frac{c}{d}$
$\frac{a}{d} = \frac{b}{c}$
$\frac{a}{c} = \frac{d}{b}$
$\frac{a}{b} = \frac{b}{c}$

a(d - b + d) + c(b - d) + (a - c)(b - d)=0
or -2add - ab - cd+ ab - bc - ad + cd = 0
or ad - bc = 0 or ab=cd