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 a particle moving along a line follows the law then the acceleration is proportional to
Square of the velocity
Cube of the displacement
Cube of the velocity
Constant
The equation of the tangent to the curve y = 2 x2 - 3x - 1 at the point (1,-2) is
x - y - 3 = 0
x - y + 3 = 0
x + y - 3 = 0
x + y + 3 = 0
For the curve x = t2 - 1 , y = t2 - t tangent is parallel to x - axis where
t = 0
t = 1/√3
1/2
-1/√3
If y = a log | x | + bx2 + x has its extreme value at x = -1 and x = 2 then:
a = 2, b = -1
a = 2, b = -1/2
a = -2, b = 1/2
None of these
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
If the rate of change of volume of a sphere is equal to the rate of change of its radius then its radius =
1
0
On the intervals [0, 1 ] the function x25 ( 1 - x ) 75 takes its maximum value at the point:
1/4
