If `3A=[(-1,-2,-2),(2,1,-2),(x,-2,y)]` such that `A A^T=I`, then which of the following are correct? (A) `x+2y=4` (B) `x-y=1` (C) `x^2+y^2=-3` (D) `x^2+y^2=5`

If 3A=[-1-2-2 2 1-2x-2y] such that A.A^T=I , then which of the following are correct? x+2y=4 (b) x-y=1 x^2+y^2=-3 (d) x^2+y^2=5

If A=(1)/(3)[(1,2,2),(2,1,-2),(x,2,y)] and A A^(T)=I_(3) then x+y=

If x=10 and y=0.1, which of the following is the greatest? x^(2)+y^(2)( b) x^(2)-y^(2)( c) x^(2)backslash y^(2) (d) (x^(2))/(y^(2))

If a function is represented parametrically be the equations x=(1+(log)_e t)/(t^2); y=(3+2(log)_e t)/t , then which of the following statements are true? (a) y^('')(x-2x y^(prime))=y (b) y y^(prime)=2x(y^(prime))^2+1 (c) x y^(prime)=2y(y^(prime))^2+2 (d) y^('')(y-4x y^(prime))=(y^(prime))^2

If a function is represented parametrically be the equations x=(1+(log)_e t)/(t^2); y=(3+2(log)_e t)/t , then which of the following statements are true? (a) y^('')(x-2x y^(prime))=y (b) y y^(prime)=2x(y^(prime))^2+1 (c) x y^(prime)=2y(y^(prime))^2+2 (d) y^('')(y-4x y^(prime))=(y^(prime))^2

Factorize each of the following algebraic expressions: (1) (x-y)^2+(x-y) (2) 6(a+2b)-4(a+2b)^2 (3) a(x-y)+2b(y-x)+c(x-y)^2 (4) -4\ (x-2y)^2+8(x-2y)

If x^2+y^2=t -1/t and x^4+y^4=t^2+1/t^2 then (dy)/ (dx) is equal to a) 1/(x^2y^3) b) 1/(xy^3) c) 1/(x^2y^2) d) 1/(x^3y)

If |(2a,x_(1),y_(1)),(2b,x_(2),y_(2)),(2c,x_(3),y_(3))| = (abc)/2 != 0 , then the area of the triangle whose vertices are ((x_(1))/a,(y_(1))/a),((x_(2))/b,(y_(2))/b)and ((x_(3))/c,(y_(3))/c)

Subtract: x^2y-4/5x y^2+4/3x y\ from 2/3x^2y+3/2x y^2-1/3x y

Multiply: (i) (2x^2-1)b y\ (4x^3+5x^2) (ii) (2x y+3y^2)(3y^2-2)