# If x+y=k,x>0,y>0,then xy is the maximum when

1.  X=ky

2.  Kx=y

3.  X=y

4.  None of these

4

None of these

Explanation :
No Explanation available for this question

# The triangle of maximum area inscribed in a circle of radius r is

1.  A right angled triangle with hypotenuse measuring 2r

2.  An equilateral triangle

3.  An isosceles triangle

4.   Does not exist

4

An equilateral triangle

Explanation :
No Explanation available for this question

# Sum of the perimeter of a circle and a square is l.If the sum of area is least,then

1.  Side of the square is double the radius of the circle

2.  Side of the square is half of the radius of the circle

3.  Side of the square is equal to radius of the circle

4.  None of these

4

Side of the square is double the radius of the circle

Explanation :
No Explanation available for this question

# Which of the following is false

1.  F(a) is an extreme value of f(x) is f’(a)=0

2.  If f(a) is an extreme value of f(x),then f’(a)=0

3.  If f(a)=0,then f(a) is an extreme value of f(x)

4.  None of these

4

None of these

Explanation :
No Explanation available for this question

# Let f(x)=|x|,then

1.  F’(0)=0

2.  F(x) is maximum at x=0

3.  F(x) is minimum at x=0

4.  None of these

4

F(x) is minimum at x=0

Explanation :
No Explanation available for this question

# The greatest and the least value of f(x)=x4-8x3+22x2-24x+1 in [0,2] are

1.  0,8

2.  0,-8

3.  1,8

4.  1,-8

4

1,-8

Explanation :
No Explanation available for this question

# Maximum slope of the curve –x3+6x2+2x+1 is

1.  14

2.  16

3.  19

4.  -13

4

14

Explanation :
No Explanation available for this question

# The function f(x)=x5-5x4+5x3-1 has

1.  One minima and two maxima

2.  Two minima and one maxima

3.  Two minima and two maxima

4.  One minima and one maxima

4

One minima and one maxima

Explanation :
No Explanation available for this question

# A rectangular box with aquare base in open at the top.The maximum volume of the box made from 300 m3 wood is

1.  500

2.  1000

3.  1500

4.  2000

4

500

Explanation :
No Explanation available for this question

# The maximum value of log x/x in (0,∞) is

1.  E

2.  1/e

3.  1

4.  None of these

4