If `A=1/3[1 2 2 2 1-2a2b]` is an orthogonal matrix, then `a=-2` b. `a=2,b=1` c. `b=-1` d. `b=1`

If A=1/3{:[(1,2,2),(2,1,-2),(a,2,b)]:} is an orthogonal matrix, then

If A is an orthogonal matrix then A^(-1) equals A^(T) b.A c.A^(2) d.none of these

STATEMENT -1 : a=(1)/(3){:[(1,-2,2),(-2,1,2),(-2,-2,-1)]:} is an orthogonal matrix and STATEMENT-2 : If A and B are otthogonal, then AB is also orthogonal.

Let A be an orthogonal square matrix. Statement -1 : A^(-1) is an orthogonal matrix. Statement -2 : (A^(-1))^T=(A^T)^(-1) and (AB)^(-1)=B^(-1)A^(-1)

If x^2/a +y^2/b=1 and x^2/c+y^2/d=1 are orthogonal then relation between a , b , c , d is

If x+2 is a factor of x^2+a x+2b and a+b=4 , then (a) a=1, b=3 (b) a=3, b=1 (c) a=-1, b=5 (d) a=5, b=-1

If A=[[1,-1],[ 2, 1]],B=[[a,1],[b,-1]]a n d(A+B)^2=A^2+B^2+2A B ,t h e n a.a=-1 b. a=1 c. b=2 d. b=-2