The displacement s of a particle at time 't' is given by s = a cos ωt + b sin ωt.Acceleration at time 't' is.
ω2s
s2/ω2
ω2
-ω2s
If the rate of change of area of a circle is equal to the rate of change of its diameter,then its radius =
The min intercept made by the axis on the tangent to the ellipse is
2a + b
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
If y = 4x - 5 is tangent to the curve y2 = px3 + q at ( 2, 3 ) then
p = 2, q = -7
p = -2, q = 7
p = -2, q = -7
p = 2, q = 7
If u = x2y + y2z + z2x then ux + uy + uz =
x + y + z
3(x2y + y2z + z2x)
(x + y + z)2
The side of an equilateral traingle is 'a' units and is increasing at the rate of k units/sec.Rate of increase of its area is.
√ ak
None of these
Divide 20 into two parts such that the product of one part and the cube of the other is maximum then two parts
( 10, 10)
( 12, 8 )
( 15, 5 )
The total area of a page is 150 square inches. The combined width of the margin at the top and bottom is 3" and the side is 2". The dimensions of the page in order that the area of the printed matter is maximum are
15, 10
25, 6
30, 5
Coordinates of the point P on the curve y2 = 2x3, where the tangent is perpendicular to the line 4x - 3y + 2 = 0 are given by:
(2, 4 )
(0, 0 )
( 1/8, 1/16)
