If `3A=[-1-2-2 2 1-2x-2y]` such that `AA^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 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 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

Find each of the following products: (i) (-5x y)xx(-3x^2y z) (ii) 1/2x y\ xx2/3x^2y z^2

Which of the following pair of graphs intersect? y=x^2-x a and y=1 y=x^2-2x and y=sinx y=x^2-x+1 and y=x-4

x=2, y=−1 is a solution of the linear equation (a) x+2y=0 (b) x+2y=4 (c) 2x+y=0 (d) 2x+y=5

Simplify the following expression: x^2(1-3y^2)+x(x y^2-2x)-3y(y-4x^2y)

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? y^(x-2x y^(prime))=y y y^(prime)=2x(y^(prime))^2+1 x y^(prime)=2y(y^(prime))^2+2 y^(y-4x y^(prime))=(y^(prime))^2

Find the centre and radius of each of the following circle : (i) x^(2)+y^(2)+4x-4y+1=0 (ii) 2x^(2)+2y^(2)-6x+6y+1=0 (iii) 2x^(2)+2y^(2)=3k(x+k) (iv) 3x^(2)+3y^(2)-5x-6y+4=0 (v) x^(2)+y^(2)-2ax-2by+a^(2)=0

For what values of x\ a n d\ y are the following matrices equal? A=[2x+1 2y0y^2-5y] , B=[x+3y^2+2 0-6]

If X and Y are 2xx2 matrices, then solve the following matrix equations for X and Ydot 2X+3Y=[2 3 4 0] , 3X+2Y=[-2 2 1-5]