The least integral value of a such that `sqrt(9-a^(2)+2ax-x^(2)) > sqrt(16-x^(2))` for at least one positive `x`

The greatest integral value of a such that sqrt(9-a^(2)+2x-x^(2))>=sqrt(16-x^(2)) for at least one positive value of x is (a) 3 (b) 4 (c) 6 (d) 7

Integrate {sqrt(1-x^(2))+(x^(2))/(sqrt(1-x^(2)))}

The number of integral values of x satisfying sqrt(-x^(2)+10x-16)

The number of integral value of x satistying sqrt(x^(2)+10x-16)

int (dx)/(sqrt(16-9x^(2)))

The least integral value of a'a' for which the equation x^(2)+2(a-1)x+(2a+1)=0 has both the roots positive,is

the least value of 'a' for which the equation 2sqrt(a) sin^(2) x+sqrt(a-3) sin 2x=5+sqrt(a) has at least one solution is _______.

The set of exhaustive values of a for which the equation |ax-2|=2x^(2)+ax+4 has at least one positive root,is