What is the side effect of aluminium hydroxide?
Aluminium hydroxide is used for different reasons which include relief from heartburn, minor wounds, burns and skin irritation. It has... View Article
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Is oxygen stable or unstable?
One oxygen atom is unstable since it has only 6 electrons in the outermost shell. For an atom to be... View Article
Why back EMF is used in DC motor?
When the armature of the DC motor rotates under the influence of driving torque, the armature of the conductors moves... View Article
The total number of local maxima and local minima of the function f (x) = {(2 + x)3, when – 3 < x ≤ -1 and x2/3, when -1 < x < 2 is
1) 0 2) 1 3) 2 4) 3 Solution: (3) 2 f (x) = {(2 + x)3, when – 3... View Article
If from a wire of length 36 metre a rectangle of greatest area is made, then its two adjacent sides in metre are
1) 6, 12 2) 9, 9 3) 10, 8 4) 13, 5 Solution: (2) 9, 9 2 (a + b)... View Article
Maximum value of x (1 – x)2 when 0 ≤ x ≤ 2, is
1) 2 / 27 2) 4 / 27 3) 5 4) 0 Solution: (2) 4 / 27 f (x) =... View Article
The minimum value of f (a) = (2a2 – 3) + 3 (3 – a) + 4 is
1) 15 / 2 2) 11 / 2 3) -13 / 2 4) 71 / 8 Solution: (4) 71 /... View Article
If the function f (x) = x4 – 62x2 + ax + 9 is maximum at x = 1, then the value of a is
1) 120 2) –120 3) 52 4) 128 Solution: (1) 120 f (x) = x4 – 62x2 + ax +... View Article
The set of extreme values of function f (x) = tan x, x ∈ R – {(2k + 1) (π / 2)) , k ∈ I}
1) ɸ 2) R – (-1, 1) 3) R+ ⋃ {0} 4) R Solution: (1) ɸ f (x) = tan... View Article
Let f (x) = x2e-2x, x > 0. Then the maximum value of f (x) is
1) 1 / e 2) 1 / 2e 3) 1 / e2 4) 4 / e4 Solution: (3) 1 /... View Article
The minimum value of the value of the function 2 cos 2x – cos 4x in 0 ≤ x ≤ π is
1) 0 2) 1 3) 3 / 2 4) –3 Solution: (4) –3 y = 2 cos 2x – cos... View Article
If sum of two numbers is 3, then maximum value of the product of first and the square of second is
1) 4 2) 3 3) 2 4) 1 Solution: (1) 4 Assume the first number to be 3 − x... View Article
A minimum value of integral from 0 to x te-t2 dt is
1) 1 2) 2 3) 3 4) 0 Solution: (4) 0 f (x) = ∫0x te-t^2 dt f’ (x) =... View Article
The function f (x) = |px – q| + r |x|, x ∈ (- ∞, ∞) where p > 0, q > 0, r > 0 assumes its minimum value only at one point if
1) p ≠ q 2) q ≠ r 3) r ≠ p 4) p = q = r Solution: (3) r ≠... View Article
The largest term in the sequence an = n2 / [n3 + 200] is given by
1) 529 / 49 2) 8 / 89 3) 49 / 543 4) None of these Solution: (3) 49 /... View Article
The value of a so that the sum of the squares of the roots of the equation x2 – (a – 2) x – a – 1 = 0 assume the least value, is
1) 2 2) 1 3) 3 4) 0 Solution: (2) 1 Let α and β be the roots of equation... View Article
xx has a stationary point at
1) x = e 2) x = 1 / e 3) x = 1 4) x = √e Solution: (2)... View Article
The least value of the sum of any positive real number and its reciprocal is
1) 1 2) 2 3) 3 4) 4 Solution: (2) 2 f (x) = x + (1 / x) ⇒... View Article
If for a function f(x), f’(a) = 0, f’’(a) = 0, f’’’(a) > 0 then x = a, f(x) is
1) Minimum 2) Maximum 3) Not an extreme point 4) Extreme point Solution: (3) Not an extreme point f’ (a)... View Article
The number that exceeds its square by the greatest amount is
1) –1 2) 0 3) 1 / 2 4) 1 Solution: (3) 1 / 2 Assume the number to be... View Article
