A. 3sq.cm/sec
B. √3/2sq.cm/sec
C. 1.2sq.cm/sec
D. 4πsq.cm/sec
The equation of the normal to the curve 2x2-xy+3y2=18 at (3, 1) is
The length of the normal of the curve y2=x3/2a-x at (a, a) is
If h is the height of the maximum cone inscribed in a sphere of radius r then h:r=
The radius and height of a cylinder are measured as 5 cm and 10 cm respectively and there is an error of 0.02 cm in both the measurements. The approximate error in the volume of the cone is
The point of intersection of straight lines represented by 6x<sup>2</sup> + xy - 40y<sup>2</sup> – 35x - 83y + 11 = 0 is:
The radius of the base and depth of a conical funnel are 20 cm and 40 cm respectively. Water flows from the funnel at the rate 2.25 cc/sec. the rate at which the water level decreases when altitude is 30 cm is
The equation of the tangent to the curve y=x+9/x+5 so that is passes through the origin is
The maximum value of the area of the triangle with vertices (a, 0), (a cos θ, b sin θ), (a cos θ, -b sin θ) is
The values of x for which 2x3-3x2-36x+10 has extreme values are
The curve y=a2+bx has minimum at (2, -1) on it. Then (a, b)=