[" 2is "n" complex mumber.If "a=|x|+|y|" and "b=sqrt(2)|x+iy|" then which of the following is true "],[[" ।) "11b],[" For any two complex munher "]]

Z is a complex number.If a=|x|+|y| and b=sqrt(2)|x+iy| then which of the following is true- -

If z_(1) and z_(2) are two complex numbers, then which of the following is true ?

If z_1 and z_2 are any two complex numbers,then which of the following is not true

If x^(2)+2x+ngt10 for all real number x , then which of the following conditions is true ? a) nlt11 b) n=10 c) n=11 d) ngt11

If z = x+iy is any complex number and |z-1| = |z+1| then show that |z| = y .

Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the complex number z=x+i y satisfies I m((a z+b)/(z+1))=y , then which of the following is (are) possible value9s) of x? (a)-1-sqrt(1-y^2) (b) 1+sqrt(1+y^2) (c)-1+sqrt(1-y^2) (d) -1-sqrt(1+y^2)

Let a , b ,xa n dy be real numbers such that a-b=1a n dy!=0. If the complex number z=x+i y satisfies I m((a z+b)/(z+1))=y , then which of the following is (are) possible value9s) of x?| -1-sqrt(1-y^2) (b) 1+sqrt(1+y^2) -1+sqrt(1-y^2) (d) -1-sqrt(1+y^2)

If z=x+iy is any complex number and |z-1|=|z+1| then show that |z|=y

If a + ib = sqrt((u + iv)/(x + iy)) then the value of a^2 + b^2 is:

If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then the locus of z is