Complex NumbersHard
Question
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, the the two triangles
Options
A.have the same area
B.are similar
C.are conguent
D.None of these
Solution
Since a, b, c and u, v, w are the vertices of two triangles.
Also, c = (1- r)a + rb and w = (1- r)u + rv .........(i)
Consider
Applying R3 → R3 -{(1-r)R1 + rR2}
[form Eq. (i)]
= 0
Hence, two triangles are similar.
Also, c = (1- r)a + rb and w = (1- r)u + rv .........(i)
Consider
Applying R3 → R3 -{(1-r)R1 + rR2}
[form Eq. (i)]= 0
Hence, two triangles are similar.
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