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Q.

Statement 1 : The complex equation |Z+ 2 - i| = |Z + i – 2| represents a straight line.

Statement II : If Z0 is the circumcentre of an equilateral triangle with vertices Z1, Z2, Z3 then Z12+Z22+Z32=2.Z02 .

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a

Only I is true

b

Only II Is true

c

Both I, II are true

d

Neither I, nor II are true

answer is A.

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Detailed Solution

|x+2+i(y−1)|=|(x−2)+i(y+1)|    ⇒(x+2)2+(y−1)2=(x−2)2+(y−1)2

Which is a straight line. By synopsis, Z12+Z22+Z33=3Z02 .

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