Home
Class 11
MATHS
[" Let "z(r)(1<=r<=4)" be complex number...

[" Let "z_(r)(1<=r<=4)" be complex numbers such that "|z_(r)|=sqrt(r+1)" and "],[|30z_(1)+20z_(2)+15z_(3)+12z_(4)|=k|z_(1)z_(2)z_(3)+z_(2)z_(7)z_(4)+z_(3)z_(4)z_(1)+z_(4)z_(1)z_(2)|" Then the value of "k" equals "],[[" a) "|z_(1)bar(z)_(2)z_(3)|," b) "|z_(2)z_(3)z_(4)|," c) "|z_(4)z_(1)z_(2)|," d) None of these "]]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let z_(1)z_(2),z_(3), be three complex number such that z_(1)+z_(2)+z_(3)=0 and |z_(1)|=|z_(2)|=|z_(3)|=1 then Let |z_(1)^(2)+2z_(2)^(2)+z_(3)^(2)| equals

Let z_(1)=r_(1)(cos theta_(1)+i sin theta_(1)) and z_(2)=r_(2)(cos theta_(2)+i sin theta_(2)) be two complex numbers then prove the following

Let A=Z , the set of integers. Let R_(1)={(m,n)epsilonZxxZ:(m+4n) is divisible by 5 in Z} . Let R_(2)={(m,n)epsilonZxxZ:(m+9n) is divisible by 5 in Z} . Which one of the following is correct?

Let A=Z , the set of integers. Let R_(1)={(m,n)epsilonZxxZ:(m+4n) is divisible by 5 in Z} . Let R_(2)={(m,n)epsilonZxxZ:(m+9n) is divisible by 5 in Z} . Which one of the following is correct?

Let z_(1)=e^((i pi)/(5))

Let the complex number z_(1) , z_(2) , z_(3) be the vertices of an equilateral triangle . Let z_(theta) be the circumcentre of the triangle . Then z_(1)^(2) + z_(2)^(2) + z_(3)^(2) =

Let z_1=r_1(costheta_1+isintheta_1)a n dz_2=r_2(costheta_2+isintheta_2) be two complex numbers. Then prove that |z_1+z_2|^2=r1 2+r2 2+2r_1r_2cos(theta_1-theta_2) or |z_1+z_2|^2=|z_1|^2+|z_2|^2+2|z_1||z_2|^()_cos(theta_1-theta_2)

Let z_(r),r=1,2,3,...,50 be the roots of the equation sum_(r=0)^(50)(z)^(r)=0 . If sum_(r=1)^(50)1/(z_(r)-1)=-5lambda , then lambda equals to

Let z_(r),r=1,2,3,...,50 be the roots of the equation sum_(r=0)^(50)(z)^(r)=0 . If sum_(r=1)^(50)1/(z_(r)-1)=-5lambda , then lambda equals to

Let z_(r),r=1,2,3,...,50 be the roots of the equation sum_(r=0)^(50)(z)^(r)=0 . If sum_(r=1)^(50)1/(z_(r)-1)=-5lambda , then lambda equals to