A. tan-1(6/13)
B. tan-1(3/4)
C. tan-1(5/√3)
D. tan-1(4√2/7)
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
If A, B, C, D are the length of tangents to the curves 1.y=4x2 at (-1, 4) 2. Y=x3+1 at (1, 2) 3. Y=x3/2-x at (1, 1) 4. 2x2+3xy-2y2=8 at (2, 3) then the ascending order of A, B, C, D is
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