A. a sin2θ
B. a sin2θ tanθ
C. a sin2θ cosθ
D. a sin4θ secθ
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=
At a given instant the legs of a right angled triangle are 8 inch and 6 inch respectively. The first leg decreases at 1 inch per minute and second increases at 2 inch per minute. The rate of increasing of the area after 2 minutes is
If an error of 0.01 cm is made while measuring the radius 5 cm of a circle, then the relative error in the area is
A particle is moving along a straight line according to the law s=16+48+t-t3. Then distance travelled by the particle before coming to rest at an instant is