JEE Advanced Model Paper 8 with solutions for online practice

(a) option is not correct as it should be ±

π

2

(b) Equation of circle is

z−α

αβ

is purely imaginary
∴ Re (

z−α

z−β

) = 0 or ∴ Re (z - α) (

−

z−β

) = 0 ⇒ (b) is correct
(c) Option is obviously correct
(d) Option can not be correct at the centre of required circle is (

α+β

2

) but from the given equationcentre of the circle is coefficient

−

z

= - (

α+β

2

)