Evaluate the expression (13+23+33……+123)/(12+22+32…..+122)

1.  234/25

2.  224/35

3.  324/35

4.  335/24

4

234/25

Explanation :
No Explanation available for this question

Find the value of the expression [(1+i√3)/(1-i√3]6+[(1-i√3)/(1+i√3)]6

1.  0

2.  2

3.  128

4.  None of these

4

2

Explanation :
No Explanation available for this question

Evaluate log34×log45×log56×log67×log78×log89

1.  0

2.  1

3.  2

4.  None of these

4

2

Explanation :
No Explanation available for this question

If the sum of the roots of the equation x2 + ax + 1 = 0 is equal to the sum of the squares of their reciprocals, then which of the following is a possible value of a

1.   –1

2.  2

3.  1

4.  None of these

4

1

Explanation :
No Explanation available for this question

If the straight lines ax-by=k and cx-dy=k1 are perpendicular to each other, then what is the relation between a, b, c & d

1.  ab+cd=0

2.  ab-cd=0

3.  ac-bd=0

4.  ac+bd=0

4

ac+bd=0

Explanation :
No Explanation available for this question

The sum of the infinite series 1-x+(x2/2!)-(x3/3!)+……∞ is denoted by

1.  sinx+cosx

2.  1+log(1-x)

3.  1-log(1+x)

4.  None of these

4

None of these

Explanation :
No Explanation available for this question

If 2+3x-2x2

1.   –(1/2) < x < 2

2.  x < -(1/2)

3.  x < 2

4.  x < -(1/2) or x > 2

4

x < -(1/2) or x > 2

Explanation :
No Explanation available for this question

If log(x – 7) + log (x + 1) = 1 then which of the following is correct

1.  x2  – 7x – 6 – e = 0

2.  x2 – 7x – 6 + e = 0

3.  x2 – 6x – 7 – e = 0

4.  x2 – 6x – 7 + e = 0

4

x2 – 6x – 7 – e = 0

Explanation :
No Explanation available for this question

If the equations x2 + ax + b = 0 and x2 + bx + a = 0, have one root in common, then find the value of (a + b).

1.   0

2.   1

3.  –1

4.   2

4

–1

Explanation :
No Explanation available for this question

1.   0

2.  1

3.   2

4.  -1

4