A. A, B, C, D
B. B, C, D, A
C. A, B, D, C
D. C, B, D, A
The distance from a fixed point O of a particle P moving in a straight line from O is given by s=16+48t-t3. The direction of motion of the particle after t=4 sec is
The point on the curve y=x2+5, the tangent at which is perpendicular to the line x+2y=2 is
The length of the tangent of the curves x=a cos 3θ, y= a sin3θ (a>0) is
The point of the curve y=x4-4x3+4x2+1 at which the tangent is parallel to x-axis is
Tangent at any point of the curve (x/a)2/3+(y/b)2/3=1 makes intercepts x1and y1 on the axes. Then
The area of the triangle formed by the tangent to the curve y=8/(4+x2) at x=2 and the co-ordinate axes is
The angle between the curve y2=4x+4 and y2=36(9-x) is
The length of the normal of the curve 2x2+3xy-2y2=8 at (2, 3) is
If θ is the angle of intersection of the curves y2=x3 and y=2x2-1 at (1, 1), then tanθ=
If θ is the angle between the curves xy=2, y2 =4x at (1, 2) then tan θ=