The angle between the curve2y=ex/2 and the y-axis is…..

1.  tan-1(4)

2.  tan-1 (1/4)

3.  (π/2)+tan-1(4)

4.  (π/2)+ tan-1 (1/4)

4

tan-1(4)

Explanation :
No Explanation available for this question

The semi vertical angle of the cone of maximum volume and of given slant height is

1.  sin-1(√(1/3)

2.  tan-1√2

3.  tan-1(1/√2)

4.  cos-1(1/3)

4

tan-1√2

Explanation :
No Explanation available for this question

then

1.  0

2.  u

3.

4.

4

Explanation :
No Explanation available for this question

If α, β are the roots of a=0 then the equation whose roots are 2+α,2+ β is

1.  ax2+x(4a-b)+4a+c=0

2.  ax2+x(4a-b)+4a+2b+c=0

3.  ax2+x(b-4a)+4a+2b+c=0

4.  ax2+x(b-4a)+4a-2b+c=0

4

ax2+x(b-4a)+4a-2b+c=0

Explanation :
No Explanation available for this question

If x2-cx+d=0, x2-ax+c=0 haveone common root and second has equal roots then 2(b+d)=

1.  0

2.  ac

3.  a+c

4.  a-c

4

ac

Explanation :
No Explanation available for this question

If f(x) is a polynomial of degree ‘n’ with rational coefficients and 1+2i,2-√3 and 5 are three roots of f(x)=0,then the least value of ‘n’ is

1.  5

2.  4

3.  3

4.  6

4

5

Explanation :
No Explanation available for this question

The equation whose roots are 3, 2is

1.  x4-6x3+8x2+2x-1=0

2.  x4-9x3+27x2-33x+14=0

3.  x4-10x3+44x2-106x+91=0

4.  x4-6x3+4x2+54x-117=0

4

x4-10x3+44x2-106x+91=0

Explanation :
No Explanation available for this question

If A,B are square matrices of order 3,A is non-singular and AB=0,then B is a

1.  Null matrix

2.  Non-singular matrix

3.  singular matrix

4.  Unit matrix

4

singular matrix

Explanation :
No Explanation available for this question

If α,β,γ are the roots of

1.  -b3

2.  b3-3c

3.  b2-3c

4.  0

4

0

Explanation :
No Explanation available for this question

1.  -1

2.  1 or 2

3.  1

4.  2

4