A. (3, 1)
B. (3, -1)
C. (-3, 1)
D. (-3, -1)
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)=
A stone thrown upwards, has its equation of motion s=490t-4.9t2. Then the maximum height reached by it is
The equation of the normal to the curve y=3x2+4x-6 at (1, 1) is
The equation of the tangent to the curve y=x3-2x+7 at (1, 6) is
The values of ‘a’ for which the function (a+2)x3-3ax2+9ax-1 decreases monotically throughout for all real x are
The equation of the normal to the curve x2=4y at (2, 1) is