If `a,b,c` and `u,v,w` are complex no. representing the vertices of two triangles such that they are similar then `[[a,u,1],[b,v,1],[c,w,1]]=0`

If a ,b,c, and u,v,w are complex numbers repersenting the vertices of two triangle such that they are similar, then prove that (a-c)/(a-b) =(u-w)/(u-v)

If a,b,c and u,v,w are the complex numbers representing the vertices of two triangles such that (c=(1-r)a+rb and w=(1-r)u+rv, where r is a complex number,then the two triangles (a)have the same area (b) are similar (c)are congruent (d) None of these

If a,b,c and u,v,w are complex number representing the vertices of two triangles such that c=(1-r)a+rb and w=(1-r)U+rv, where r is a complex number,then the two trangles A) have the same area B) are similar C.are congruent D. None of these

If z_(1),z_(2),z_(3) and u,v,w are complex numbers represending the vertices of two triangles such that z_(3)=(1-t)z_(1)+tz_(2) and w = (1 -u) u +tv , where t is a complex number, then the two triangles

If z=omega,omega^(2)where omega is a non-real complex cube root of unity,are two vertices of an equilateral triangle in the Argand plane,then the third vertex may be represented by z=1 b.z=0 c.z=-2 d.z=-1

Supose directioncoisnes of two lines are given by u l+vm+wn=0 and al^2+bm^2+cn^2=0 where u,v,w,a,b,c are arbitrary constnts and l,m,n are directioncosines of the lines. For u=v=w=1 if lines are perpendicular then. (A) a+b+c=0 (B) ab+bc+ca=0 (C) ab+bc+ca=3abc (D) ab+bc+ca=abc

Supose directioncoisnes of two lines are given by u l+vm+wn=0 and al^2+bm^2+cn^2=0 where u,v,w,a,b,c are arbitrary constnts and l,m,n are directioncosines of the lines. For u=v=w=1 directionc isines of both lines satisfy the relation. (A) (b+c)(n/l)^2+2b(n/l)+(a+b)=0 (B) (c+a)(l/m)^2+2c(l/m)+(b+c)=0 (C) (a+b)(m/n)^2+2a(m/n)+(c+a)=0 (D) all of the above