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Let Delta = |{:(-bc,,b^(2)+bc,,c^(2)+bc)...

Let `Delta = |{:(-bc,,b^(2)+bc,,c^(2)+bc),(a^(2)+ac,,-ac,,c^(2)+ac),(a^(2)+ab,,b^(2)+ab,,-ab):}|` and the equation
`px^(3) +qx^(2) +rx+s=0` has roots a,b,c where `a,b,c in R^(+)`
`" if " Delta =27 " and " a^(2) +b^(2)+c^(2) =3`then

A

`lt=9r^(3)`

B

`gt=27r^(2)`

C

`lt=27r^(2)`

D

`gt=81r^(3)`

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Passage Based Questions)
  1. Consider the system of equations x+y+z=5, x+2y+3z=9, x+3y+lambda z=m...

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  2. Consider the system of equations x+y+z=5, x+2y+3z=9, x+3y+lambda z=m...

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  3. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  4. Find |A| if A = | (5 , 2) , (6 , 3)|

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  5. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  6. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of ...

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  7. Let alpha,beta,gamma be the roots of x^(3)+2x^(2)-x-3=0. If the abso...

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  8. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0. If a = al...

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  9. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  10. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  11. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  12. |{:(x,e^(x-1),(x-1)^(3)),(x-lnx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,cos...

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  13. Find |A| if A = |(4x, 3x), (5x, 6x)|

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  14. Expand |(8x, 3), (2, 2)|

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  15. Let Delta = |{:(-bc,,b^(2)+bc,,c^(2)+bc),(a^(2)+ac,,-ac,,c^(2)+ac),(a^...

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  16. Expand | (7x, 4), (x, 1)|

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  17. Expand |(3,2), (1,1)|

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  18. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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  19. Find dy/dx if x^(3)-lambdax^(2)+11x-6=y

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  20. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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