AIEEE 2007 (Offline)Question 1
If $|z+4|\le3$, then the maximum value of $|z+1|$ is :
Complex Numbers
Solution
$|z+4|\le3$: $z$ lies in the disc of centre $-4$, radius $3$; max $|z+1|=3+3=6$.Complex Numbers - JEE Mathematics question (AIEEE 2007 (Offline))
More from Complex Numbers
- Let z=x+iy be a complex number where x and y are integers. Then the area of the rectangle whose vertices are…
- The number of elements in the set Acap Bcap C is
- Let S be the set of all (alpha,beta) , pi<alpha,beta<2pi , for which the complex number…
- Let alpha_1,alpha_2,ldots,alpha_7 be the roots of the equation x^7+3x^5-13x^3-15x=0 and…
- If x^2+x+1=0 , then the value of (x+frac1x )^4+ (x^2+frac1x^2 )^4+ (x^3+frac1x^3 )^4+ldots+ (x^25+frac1x^25…
- Let A= \thetain (-fracpi2,pi ):(3+2isintheta)/(1-2isintheta)text is purely imaginary \ . Then the sum of the…
- Let z_1 and z_2 be two complex numbers such that arg(z_1-z_2)=(pi)/(4) and z_1,z_2 satisfy the equation…
- If z is a complex number such that |z|le1 , then the minimum value of |z+frac12(3+4i) | is :