If `[(2+x,3,4),(1,-1,2),(x,1,-5)]` is a singular matrix then x is (A) `13/25` (B) `-25/13` (C) `5/13` (D) `25/13`

If A=[[2-k,2],[1,3-k]] is a singular matrix,then find the value of 5k-k^(2) .

If the matrix [(1,3,lamda+2),(2,4,8),(3,5,10)] is singular then find lamda

If the matrix A=[{:(2-x,1,1),(1,3-x,0),(-1,-3,-x):}] is singular then what is the solution set S?

If the matrix A=[{:(2-x," "1,1),(" "1,3-x,0),(-1,-3,-x):}] is singular, then what is the solution set S ?

Suppose that two cards are drawn at random from a deck of cards. Let X be the number of aces obtained. Then the value of E(X) is (A) (37)/(221) (B) 5/(13) (C) 1/(13) (D) 2/(13)

If A=[(1,3),(4,2)],B=[(4,1),(-6,3)] and C=[(1,3),(0,-5)] , then find A+B+C ?

The distance of the point (2,1,-1) from the plane x-2y+4z=9 is (A) sqrt(13)/21 (B) 13/21 (C) 13/sqrt(21) (D) sqrt(13/21)

The distance of the point (2,1,-1) from the plane x-2y+4z=9 is (A) sqrt(13)/21 (B) 13/21 (C) 13/sqrt(21) (D) sqrt(13/21)