The coordinates of the point of the curve y = x2 + 3x + 4 the tangent at which passes through the origin are:
( 2, 14 ), ( -2, 2 )
( 2, 14 ), ( -2, -2 )
( 2, 14 ), ( 2, 2 )
None of these
The side of a cube is equal to the diameter of a sphere. If the side and radius increases at the same rate then the ratio of the increase of their surface is.
On the intervals [0, 1 ] the function x25 ( 1 - x ) 75 takes its maximum value at the point:
1/4
1/2
If a particle moves according to the law s = t3/3 - 3t2 + 8t then the distance covered before it first comes to rest is.
16/3
8
10/3
20/3
The dimension of the rectangle of perimeter 36 cm. Which will Sweep out a volume as large as possible when revolved about one of its sides, are
10, 8
11, 7
12, 6
The equation of the normal to the curve y (x - 2 ) (x - 3) 0 x + 7 = 0 at the point where it cuts the x axis is:
x - 20y = 7
20 x - y = 7
20x + y = 140
20x - y = 140
The largest value of ax3 - 3x2 - 12x = 5 for -2 ≤ x ≤ 4 occurs at x =
-2
A wire of length 'a' is cut in to two parts which are bent respectively in the form of square and a circle. The least value of the sum of the areas so formed is
The side of a cube is equal to the diameter of a sphere.If the side and radius increase at the same rate then the ratio of the increase of their surfaces is
The normal at the point ( 1, 1 ) to the curve 2y =3 -x2 is:
x + y = 0
x + y + 1 = 0
x - y + 1 = 0
