A. 1
B. 3
C. 1/3
D. None
If y=x3-ax2+12x+5 is increasing for all real values of x, then a lies between
Two tangents are drawn from the point (-2, -1) to the parabola y2 = 4x. If α is the angle between those tangents then tan α =
The slope of the tangent to the curve x2+y2 =4 at (√2, √2) is
The equation of the normal to the curve y2=x3/2a-x at (a, a) is
The point on the curve x2=2y which is closest to the point (0, 5) is
The approximate change in y, when y=x2+2x, x=3, δx=0.01 is
If the tangent to the curve xy+ax+by=0 at (1, 1) is inclined at an angle tan-2 with x-axis, then
The angle between the curves x2+y2=4 and x2=3y is
Equation of the tangent line at y=a/4 to the curve y(x2+a2)=ax2 is
The equation of the tangent to the curve (x/a)2/3+(y/b)2/3 =1 at (a cos3θ, b sin3θ ) is