If 2b+(a-b)i=2+3i, then find a and b. .

If a-5b+3ai=7-3i, then find a and b.

If a-b+2ai=3+6i, then find a and b.

If a+(b+2a)i=1-4i, then find a and b.

If 7a-b+5ai=7+5i, then find a and b.

If (a+b)-i(3a+2b)=5+2i , then find a a n d bdot

If (a+b)+i(a-b)=2-3i find a\ a n d\ bdot

If (2a - 3b)/(2a+3b) = 1/3 , then find the value of (2a^(3) - 3b^(3))/(2a^(3) + 3b^(3)) .

If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)+tan^(-1)(d//c)

If vec(a)=2hat(i)-2hat(j)+hat(k), vec(b)=2hat(i)+3hat(j)+6hat(k) " and " vec(c)=-hat(i)+2hat(k) , then find the magnitude and direction of the vector vec(a)-vec(b)+2vec(c) .

If a : b = 3 : 2 " and " b : c = 3 : 2 , then find the value of the ratio (a + b) : (b + c) .