(i) Find the equation of line joining (1,2) and (3,4) using determinants, (ii) Find the equation of the line joining (3,1) and (9,3) using determinant
(i) Find the equation of line joining (1,2) and (3,4) using determinants,
(ii) Find the equation of the line joining (3,1) and (9,3) using determinants.
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(i) Let the point p(x,y) lies on the line joining the points A(1,2) and B(3,6).
`therefore "P,A and B are collinear."`
`rArr" "=1/2|{:(x,y,1),(1,2,1),(3,6,1):}|=0`
`rArr x(2-6)-y(1-3)+1(6-6)=0`
`rArr -4x+2y=0 rArr y=2x`
(ii) Let the point P(x,y) lies on the line joining the points A(3,1) and B(9,3).
`therefore" P,A and B are collinear".`
`rArr" "1/2|{:(x,y,1),(3,1,1),(9,3,1):}|=0`
`rArr x(1-3)-y(3-9)+1(9-9)=0`
`rArr" "-2x+6x=0=rArrx-3y=0`
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