# If one root of 18x3+81x2+121x+60=0 is equal to half of the sum of the other two roots then the roots are

1.  -1, 1/3, 2

2.  -3/2, -4/3, -5/3

3.  -1, 1/2, 2

4.  2, 2, -1

4

-3/2, -4/3, -5/3

Explanation :
No Explanation available for this question

# If the product of two of 6x4-29x3+40x2-7x-12=0 is 2 then the roots are

1.  4/3, 3/2, 1 +√2, 1-√2

2.  - 4/3, 3/2, 1 +√2, 1-√2

3.  4/3, - 3/2, 1 +√2, 1-√2

4.  -4/3, - 3/2, 1 +√2, 1-√2

4

4/3, 3/2, 1 +√2, 1-√2

Explanation :
No Explanation available for this question

# If the product of two of the roots of x4-5x3+5x2+5x-6=0 is 3 then the roots are

1.  1, -2, 4, -8

2.  ±1, 2, 3

3.  ±2i, 2, 3

4.  -3/2, -1/3, 2± √3

4

±1, 2, 3

Explanation :
No Explanation available for this question

# If the four roots of x4-12x3+47x2-72x+36=0  are such that two of the roots are double to other two roots, then the roots are

1.  -1,-2,-3,-6

2.  1,2,3,6

3.  -1,-2, 3, 6

4.  1, 2,-3,-6

4

1,2,3,6

Explanation :
No Explanation available for this question

# The condition that the roots of x3+3px2+3qx+r=0 may be in A.P is

1.  2p3+r=3pq

2.  p3r=q3

3.  2q3+r2=3pqr

4.  none

4

2p3+r=3pq

Explanation :
No Explanation available for this question

1.  2p3+r=3pq

2.  p3r=q3

3.  2q3+r2=3pqr

4.  none

4

p3r=q3

Explanation :
No Explanation available for this question

1.  0

2.  π/2

3.  π/3

4.  π/4

4

0

Explanation :
No Explanation available for this question

# The condition that the roots of x3+3px2+3qx+r=0 may be in H.P is

1.  2p3+r=3pq

2.  p3r=q3

3.  2q3+r2=3pqr

4.  none

4

2q3+r2=3pqr

Explanation :
No Explanation available for this question

# If the roots of 2x3-3x2+kx+6=0 are in A.P then k=

1.  3

2.  -5

3.  7

4.  -11

4

-11

Explanation :
No Explanation available for this question

1.  ∞

2.  π/4

3.  0

4.  none

4