If \[{{z}_{1}}=1+i,\,{{z}_{2}}=-2+3i\,\,\text{and}\,\,\text{ }{{z}_{3}}=ai/3\], where \[{{i}^{2}}=-1,\] are collinear then the value of a is [AMU 2001]

If \[{{z}_{1}}=1+i,\,{{z}_{2}}=-2+3i\,\,\text{and}\,\,\text{ }{{z}_{3}

1.	If \[{{z}_{1}}=1+i,\,{{z}_{2}}=-2+3i\,\,\text{and}\,\,\text{ }{{z}_{3}}=ai/3\], where \[{{i}^{2}}=-1,\] are collinear then the value of a is [AMU 2001]
A.	-1
B.	3
C.	4
D.	5
Answer» E.

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If \[{{z}_{1}}=1+i,\,{{z}_{2}}=-2+3i\,\,\text{and}\,\,\text{ }{{z}_{3}}=ai/3\], where \[{{i}^{2}}=-1,\] are collinear then the value of a is [AMU 2001]

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