If `(x^2+x)+i ya n d(-x-1)-i(x+2y)` are conjugate of each other, then real value of `x&y` are `x=-1,y=1` b. `x=1,y=-1` c. `x=1,y=1` d. `x=-1,y=-1`

Find the real values of x and y for which ((x-1)/(3+i)+(y-1)/(3-i))=i .

If A(x_1, y_1),B(x_2, y_2),C(x_3, y_3) are the vertices of a triangle, then the equation |x y1x_1y_1 1x_2y_3 1|+|x y1x_1y_1 1x_3y_3 1|=0 represents (a)the median through A (b)the altitude through A (c)the perpendicular bisector of B C (d)the line joining the centroid with a vertex

If x+y=2a then the value of (a)/(x-a)+(a)/(y-a) is (a) 2 (b) 0(c)-1 (d) 1

|(3,-3i,x),(4,y,i),(0,2i,-i)|=18+11i is true of (A) x=1,y=2 (B) x=1,y=-1 (C) x=-1,y=1 (D) x=0,y=3

If A(x_1, y_1), B (x_2, y_2) and C (x_3, y_3) are the vertices of a DeltaABC and (x, y) be a point on the internal bisector of angle A , then prove that : b|(x,y,1),(x_1, y_1, 1), (x_2, y_2, 1)|+c|(x, y,1), (x_1, y_1, 1), (x_3, y_3, 1)|=0 where AC = b and AB=c .

If sqrt(x+(x)/(y))=x sqrt((x)/(y)), where x and y are positive real numbers,then y is equal to x+1 (b) x-1(c)x^(2)+1(d)x^(2)-1

Let x and y be two positive real numbers such that x + y = 1. Then the minimum value of 1/x+1/y is-