A. 0
B. 1
C. -1
D. 1/√2
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
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