Q.

If z=(λ+3)+i5−λ2  then the locus of z is a

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a

Circle

b

Sphere

c

Straight line

d

None of these

answer is A.

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Detailed Solution

x+iy=λ+3+i5−λ2⇒x=λ+3  and  y=5−λ2 ∴(x−3)2+y2=5
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Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation
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If z=(λ+3)+i5−λ2  then the locus of z is a