If ∣z−1∣+∣z+3∣≤8 , then the range of values of ∣z−4∣ is
A
(0, 8)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
[0, 8]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
[1, 9]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
[5, 9]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C [1, 9]
∴ z lies inside or on the ellipse whose foci are (1,0) and (−3,0) and vertices are (−5,0) and (3,0) Now, ∣z−4∣ is distance of z from(4,0). Minimum distance is 1 and maximum is 9.