If the rank of the matrix `[[4,2,1-x],[5,k,1],[6,3,1+x]]` is 2 then
k=`5/2` , `x=1/5`
k=`5/2` , `x!=1/5`
k=`1/5` , `x=5/2`
none of these

If x,y,z are in AP with common difference d and the rank of the matrix det[[5,5,x5,6,y6,k,z]] is 2, then

A=[[1,1,3],[5,2,6],[-2,-1,-3]] is a nilpotent matrix of index K .Then K=

Coefficient of x^4 in the expansion (1 + x - x^2)^5 is k then |k| .

If the products of the roots of 5x^(2)-4x+38+k(-4x^(2)-2x-1)=0 is -5 then the value of k is

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

If the roots of 4x^(2)+5k=(5k+1)x differ by unity,then the negative value of k is

If the lines (x -1)/(-3) = (x - 2)/(2k) = (z - 3)/(2) and (x - 1)/(3k ) = (y -1)/(1) = (z - 6)/(-5) are perpendicular to each other, then the value of k is ,

If lim_(x rarr oo)(x^(2)+3x+5)/(4x+1+x^(k)) exists then k=2(b)k 2(d)k>=2

If exactly one root of the equation x^(2)+(k+1)x+5k=0 lies in (0,5) then the number of integral values of k is

For a random variable X if P(X=k) = 4((k+1)/5^k)a , for k=0,1,2,…then a= _____