Q no 4 (a) please explain with figure Q.4.(a). If z - 25 i ≤ 15 , find the value of |maximum amp z - minimum amp z|. Share with your friends Share 0 Aarushi Mishra answered this z1-z2 represents the line segment joining z1 and z2 in argand planeGivenz-25i≤15This means distance if z from 25i is less than equal to 15it wil basically represent a circle as z-25i=15 will represnt locus of all point that are at a distance 15 units from 0+25i, they will lie on a circle, z-25i≤15 willmean all points lying inside or on the circleThe locus of z has been plotted in the image. Maximum amplitude occurs when angle made by z with positive zxaxis is the largest and similarly minimum amplitude occurs when angle made by z is negativeThese two positions will correspond to the two tangents as shown.Angle between them θ=maximum amplitude of z-minimum amplitude of zIn triangle OBCBC=radous of circle=15OC=-25i=25∠BOC=θ2 Line joining point ofintersection of tangents and center of circle bisects the angle between the tangentssin ∠BOC=sin θ2=BCOC=1525sin θ2=35θ2=sin-135θ=2sin-135 1 View Full Answer
