[" 01.If "(c+i)/(c-i)=a+ib," where "a,b,c" are real,then "a^(2)+b^(2)=],[[" (a) "1," (b) "-1," (c) "c^(2)]]

If (c+i)/(c-i)= a+ ib , where a, b, c are real, then a^2+ b^2 equals :

If a+ib= (c+i)/(c-i) , where c is real, prove that a^2+b^2=1 and b/a= (2c)/(c^2-1) .

If a+ib=(c+i)/(c-i), where c is real,prove that: a^(2)+b^(2)=1 and (b)/(a)=(2c)/(c^(2)-1)

If a+i b=(c+i)/(c-i) , where c is real, prove that: a^2+b^2=1 and b/a=(2c)/(c^2-1)dot

If a+ bi = (c + i)/(c-i), a, b , c in R , show that a^(2) + b^(2)=1 and (b)/(a)= (2c)/(c^(2)-1)

If one root of z^(2)+(a+i)z+b+ic=0 is real,where a,b,c in R, then c^(2)+b-ac=

If (2+i)/(2-3i)=A+iB (A,B" ""are real", i =sqrt(-1)), find the value of A^(2)+B^(2)

If (2+i)/(2-3i)=A+iB (A,B" ""are real", i =sqrt(-1)), find the value of A^(2)+B^(2)

The standard deviation of variate x_i is ?. Then standard deviation of the variate (ax_i+b)/c where a, b, c are constants is- (a) (a/c)sigma (b) |a/c| sigma (c) (a^2/c^2)sigma (d) Non of these