A. (1, 0), (-1, -4)
B. (0, -1), (-2, 3)
C. (2, 13), (-2, -3)
D. (1, 2), (1, -2)
The equation of the tangent to the curve 2x2-xy+3y2=18 at (3, 1) is
If there is an error of 0.02 cm in the measurement of the side 10 cm of a cube, then error in the surface area is
The side of an equilateral triangle increases at the uniform rate 0.05 cm/sec. the rate of increase in the area of the triangle when the side is 20 cm is
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