[" The least integral value of "k" for which "],[(k-2)x^(2)+8x+k+4>sin^(-1)(sin12)+cos^(-1)(cos12)AA" ."],[" is "]

The least integral value of k for which (k-2)x^(2)+8x+k+4 gt Sin^(-1)(sin12)+Cos^(-1)(cos12) for all x in R , is

The least value of k for which (k-2)x^(2)+8x+k+4gtsin^(-1)(sin12)+cos^(-1)(cos12) for all x in R is

The least natural number'n' for which (n-2)x^(2)+8x+n+4>sin^(-1)(sin12)+cos^(-1)(cos12)AA x in R is

The least natural number 'n' for which (n-2)x^2+8x+n+4>sin^(-1)(sin12)+cos^(-1)(cos12) AA x in R is

The least natural number 'n' for which (n-2)x^2+8x+n+4>sin^(-1)(sin12)+cos^(-1)(cos12) AA x in R is

The least value of n for which (n -2) x^(2) + 8 x + n + 4 gt sin^(-1) ( sin 12) + cos^-1)( cos 12),AA x in R", where " n in N , is ..............

The least integral value of 'k' for which (k -2)x^2 +8x+k+4>0 for all xepsilonR, is:

The least integral value of 'k' for which (k -2)x^2 +8x+k+4>0 for all xepsilonR , is:

The least integral value of 'k' for which (k-1) x ^(2) -(k+1) x+ (k+1) is positive for all real value of x is: