# The greatest value of the function f(x)= sin2x-x on[-π/2, π/2] is

1.   √3/2 – π/6

2.  √3/2 + π/6

3.  -√3/2 + π/3

4.  1/2-π/3

4

√3/2 – π/6

Explanation :
No Explanation available for this question

# The least value of the function f(x)= sin2x-x on[-π/2, π/2] is

1.  √3/2 – π/6

2.  √3/2 + π/6

3.  -√3/2 + π/3

4.   1/2-π/3

4

-√3/2 + π/3

Explanation :
No Explanation available for this question

# The difference between the greatest and least value of the function f(x)= sin2x-x on[-π/2, π/2] is

1.   √3+√2/2

2.  √3+√2/2 + π/6

3.  √3/2 + π/3

4.  √3+√2/2 - π/3

4

√3/2 + π/3

Explanation :
No Explanation available for this question

# If the function f(x)=9ax2+12a2x+1 where a>0 attains its maximum and minimum at p and q respectively such that p2=q then a=

1.  3

2.  1

3.  2

4.  ½

4

2

Explanation :
No Explanation available for this question

# possible value of k is

1.   1

2.  0

3.  -1/2

4.  -1

4

-1

Explanation :
No Explanation available for this question

# Suppose the cubic x3-px+q has three distinct real roots where p>0 and q>0. Then which one of the following holds

1.  The cubic has minimum at -√p/3 and maximum √p/3

2.  The cubic has minima at both √p/3 and -√p/3

3.  The cubic has maxima at both √p/3 and -√p/3

4.  The cubic has minima at √p/3 and -√p/3

4

The cubic has minima at √p/3 and -√p/3

Explanation :
No Explanation available for this question

# Given p(x)=x4+ax3+bx2+cx+d such that x=0 is the only real root of p’(x)=0. If P(-1)< P(1), then in the interval [-1, 1]

1.   P(-1) is not minimum but P(1) is the maximum of P

2.  P (-1) is not minimum but P(1) is not the  maximum of P

3.  Neither P(-1) is the minimum nor P(1) is the maximum of P

4.  P (-1) is the minimum and P(1) is the maximum of P

4

P(-1) is not minimum but P(1) is the maximum of P

Explanation :
No Explanation available for this question

# A curve passes through the point (2, 0) and the slope of the tangent at any point is x2-2x for all values of x. The point of maximum or donation the curve is

1.   (0, 2/3)

2.   (0, 4/3)

3.  (0, 1/3)

4.  (0, 5/3)

4

(0, 4/3)

Explanation :
No Explanation available for this question

# The point on the curve y=x/1+x2 at which the tangent to the curve has greatest slope is

1.  (0, 0)

2.  (1, 1)

3.  (1, 0)

4.  (2, 3)

4

(0, 0)

Explanation :
No Explanation available for this question

1.  (3, -12)

2.  (-3, 12)

3.  (-3, -12)

4.  (3, 12)

4