The equation whose roots are exceed by 1/2 than those of 8x3-4x2+6x-1=0 is

1.  4x3-8x2+8x-3=0

2.  8x3-8x2+8x-3=0

3.  8x3-16x2-8x-3=0

4.  8x3-16x2+8x-3=0

View Answer  
4
Correct Answer :

4x3-8x2+8x-3=0


Explanation :
No Explanation available for this question

The roots of the equation x3-14x2+56x-64=0 are in progression

1.  Geometric

2.  Arithmetic

3.  Harmonic

4.  A.G.P

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4
Correct Answer :

Geometric


Explanation :
No Explanation available for this question

If α,β,γ are the roots of x3+3x2+2x+3=0 then ∑1/α2β2=

1.  -4/9

2.  -5/9

3.  5/9

4.  4/9

View Answer  
4
Correct Answer :

5/9


Explanation :
No Explanation available for this question

If α,β,γ are the roots of x3+px2+qx+r=0 then ∑β2+γ2/βγ

1.  (pq/r)-4

2.  (pq/r)-3

3.  (pq/r)-2

4.  (pq/r)-1

View Answer  
4
Correct Answer :

(pq/r)-3


Explanation :
No Explanation available for this question

If α,β,γ are the roots of x3+ax2+bx+c=0 then ∑α2(β+γ)=

1.  3c+ab

2.  3c-ab

3.  ab-3c

4.  ab+3c

View Answer  
4
Correct Answer :

3c-ab


Explanation :
No Explanation available for this question

If α,β,γ are the roots of x3+px2+qx+r=0 then (β+γ-3α)(γ+α-3β)(α+β-3γ)=

1.  3p3+16pq

2.  3p3-16pq

3.  3p3-16pq+64r

4.  3p3+16pq+64r

View Answer  
4
Correct Answer :

3p3-16pq+64r


Explanation :
No Explanation available for this question

If α,β,γ are the roots of x3-x-1=0 then the transformed equation having the roots 1+α/1-α,1+β/1-β,1+γ/1-γ is obtained by taking x=

1.  y-1/3y+1

2.  y-1/2y+1

3.  y-1/y+1

4.  2y-1/y+1

View Answer  
4
Correct Answer :

y-1/y+1


Explanation :
No Explanation available for this question

If α,β,γ are the roots of x3+2x2+3x+4=0 then ∑α2β2=

1.  -7

2.  14

3.  -14

4.  7

View Answer  
4
Correct Answer :

-7


Explanation :
No Explanation available for this question

If ax3+bx2+cx+d=0 is a R.E of the first type then

1.  a=-c,b=-d

2.  a=-d,b=-c

3.  a=c,b=d

4.  a=d,b=c

View Answer  
4
Correct Answer :

a=d,b=c


Explanation :
No Explanation available for this question

If x4-6x3+3x2+26x-24 is divide by x-4 then the quotient is

1.  x3-2x2-5x+6

2.  x3-2x2+5x+6

3.  x3+2x2-5x+6

4.  0

View Answer  
4
Correct Answer :

x3-2x2-5x+6


Explanation :
No Explanation available for this question
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