`fi n d(a+b)-:(a-b)if( i )a=1/3, b=3/5(i)a=- 1/13 , b=4/9(i i i )a=- 6/7`

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

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

A real value of x satisfies the equation (3-4i x)/(3+4i x)=a-i b(a , b in RR), if a^2+b^2= a. 1 b. -1 c. 2 d. -2

A real value of x satisfies the equation (3-4i x)/(3+4i x)=a-i b(a ,\ b in RR),\ if\ a^2+b^2= a. 1 b. -1 c. 2 d. -2

Find the distance between the following pairs of points : (i)" "(2,3),(4,1) (i i)" "(5," "7),(1," "3) (i i i)" "(a ," "b),( a , b)

I : If three points A, B and C have position vectors (1, x, 3), (3, 4, 7) and (y, -2, -5) respectively and if they are collinear, then (x, y) = (2, -3) II : If a = i + 4j, b = 2i - 3j and c = 5i + 9j then c = 3a + b

If a and b are real and ( i ^(4) + 3i ) a + ( i -1) b + 5i ^(3) = 0, find a and b.

If A=d i ag (2 -5 9) , B=d i ag (1 1 -4) and C=d i ag (-6 3 4) , find A-2B (ii) B+C-2A (iii) 2A+3B-5C

I : If a = i + 4j, b = 2i - 3j, c = 5i + 9j then c = 3a + b II : If a = 3i - 6j + 2k then the length of the vector is 3.

If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+i b