If |z+2-i|=5 and maxium value of |3z +9-...

If `|z+2-i|=5` and maxium value of `|3z +9-7i|` is M, then the value of M is ______.

Verified by Experts

The correct Answer is:

20

`|3z+9-7i| =|(3z + 6 -3i)+(3-4i)|le|3z + 6-3i|+|3-4i| `
`= 3|z+2-i|+5`
`= 20`

COMPLEX NUMBERS
CENGAGE PUBLICATION|Exercise ARCHIVES (SINGLE CORRECT ANSWER TYPE )|11 Videos
COMPLEX NUMBERS
CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos
COMPLEX NUMBERS
CENGAGE PUBLICATION|Exercise MATRIX MATCH TYPE|9 Videos
CIRCLES
CENGAGE PUBLICATION|Exercise Comprehension Type|8 Videos
CONIC SECTIONS
CENGAGE PUBLICATION|Exercise All Questions|102 Videos

Similar Questions

Explore conceptually related problems

If |z +2 - i |=5 then the maximum value of |3z+9-7i| is K, then find k

If z=3i then the value of zbarz is

If iz^3+z^2-z+i=0 then the value of abs(z) is

If Z=(sqrt3+i)/2 ,then the value of z^69 is

The value of i^9+1/i^5 is

If |z|lt=4 , then find the maximum value of |i z+3-4i|dot

Suppose that z is a complex number the satisfies |z-2-2i|lt=1. The maximum value of |2z-4i| is equal to _______.

If z =(-2)/(1+sqrt3i), then the value of arg(z) is-

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

If abs(z-2-2i)=1 , then the minimum value of absz is