Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberMiscellaneous/MixedMedium2 minQB
MathematicsMediumnumerical

Let A={z: |(z-2)/(z+2)|=3}. Points P,Q,R,S represented by z1,z2,z3,z4 in A satisfy z1-z2=z4-z3. Find the maximum area

Answer:
4.50
Solution:

The locus is a circle of radius 3/2. The condition makes PQRS a parallelogram; the maximum is an inscribed square of area 9/2=4.5.

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Miscellaneous/Mixed
2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...