The graph of curve `x^2=3x-y-2` is strictly below the line `y = k`, then-

The graph of the equation y=2x^(2)-3x+1 intersect the line y=0 at

The tangent of the curve y = 2x^2 - x + 1 is parallel to the line y = 3x + 9 at the point

The graph of the function y=16x^(2)+8(a+2)x-3a-2 is strictly above the x - axis, then number of integral velues of 'a' is

The graph of the function y=16x^(2)+8(a+2)x-3a-2 is strictly above the x - axis, then number of integral velues of 'a' is

The curve y=(x^(2))/(2)+x+1 is symmetric with respect to the line x-k, then k=

If the tangent at the point P with co-ordinates (h, k) on the curve y^(2)=2x^(3) is perpendicular to the straight line 4x = 3y, then

If a in[-6,12], the probability that graph of y=-x^(2)+2(a+4)x-(3a+40) is strictly below x axis is