If ` A = [[1,-1],[2,-1]], B = [[x,1],[y,-1]] and A^2 + B^2 = (A+B)^2` then `(x,y)=` (A) `(1,4)` (B) `(2,1)` (C) `(3,3)` (D) `(4,1)`

If A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)] and (A+B)^(2)=A^(2)+B^(2) then (x,y)=

If sqrt(y)=4x, then (x^(2))/(y) is (a) 2 (b) (1)/(16) (c) (1)/(4) (d) 4

If A=[[1, -1, -2], [2, 1, 1], [4, -1, 2]], B=[[3], [5], [11]], X=[[x], [y], [z]] and AX=B then X=

Area bounded by the parabola y^2=x and the line 2y=x is (A) 4/3 (B) 1 (C) 2/3 (D) 1/3

The vertex of the parabola y^(2) - 4 y - x + 3 = 0 is a) (-1,3) b) (-1,2) c) (2,-1) d) (3,-1)

Let X=[{:(x_(1)),(x_(2)),(x_(3)):}],A=[{:(1,-1,2),(2,0,1),(3,2,1):}] and B=[{:(3),(1),(4):}] .If AX=B, then X is equal to: a) [(1),(2),(3)] b) [(-1),(2),(3)] c) [(-1),(-2),(3)] d) [(-1),(-2),(-3)]

If x^2+y^2=t-1/t and x^4+y^4=t^2+1/t^2, then x^3y (dy)/(dx)= (a) 0 (b) 1 (c) -1 (d) non of these

If A={:((x,-2),(2,1)),B={:((3,4),(0,1)),C={:((-1,-2),(y,2)) and A + B = BC. find x and y.

The orthocentre of the triangle formed by the lines x y=0 and x+y=1 is (a) (1/2,1/2) (b) (1/3,1/3) (c) (0,0) (d) (1/4,1/4)