InterviewSolution
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InterviewSolution
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If `a ,b ,c`and `u ,v ,w`are the complex numbers representing the vertices of two triangles suchthat `(c=(1-r)a+r b`and `w=(1-r)u+r v ,`where `r`is a complex number, then the two triangleshave the same area(b) are similarare congruent(d) None of theseA. have the same areaB. are similarC. are congruentD. Non of these |
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Answer» Correct Answer - B Since a,b,c and u,v ware the vertice of two triangles Also `c=(1-r) a+ rb ` and `w= (1-r ) u+rb ` Applying `R_3rarr R_3-{(1-r)R_1+rR_2)}`s `=|{:(" "a" "u" "1),(" "b" "v" "1),(c-(1-r)a-rb w-(1-r)u-rv 1 - (1-r)-r):}|` `=|(a,u,1),(b,v,1),(0,0,0)|=0 " "[from Eq. (i) ]` |
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