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erminant for2. Show that pointsA (a, b + c), B (b, c + a), C (c, a + b) are collinear. |
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Answer» The points are A(a,b+c), B(b,c+a), C(c,a+b). If the area of triangle is zero then the points are called collinear points. If three points (x , y ), (x , y ) and (x , y ) are collinear then [x (y - y ) + x ( y - y )+ x (y - y )] = 0. ⇒ [ a( c + a - a - b) + b( a + b - b - c) + c( b + c - c - a) ] = 0 ⇒ [ ac - ab + ab - bc + bc - ac ] = 0 = 0.∴ the points (a,b+c), (b,c+a), (c,a+b) are collinear. |
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