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If, p,q,r are negative distinct real num...

If, p,q,r are negative distinct real numbers , then the determinant `Delta=|(p,q,r),(q,r,p),(r,p,q)|` is :

A

`lt 0`

B

`le0`

C

0

D

`gt0`

Text Solution

Verified by Experts

The correct Answer is:
D
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MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
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  2. If A, B and C are the angles of a triangle and |(1,1,1),(1+sinA,1+sinB...

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  3. If, p,q,r are negative distinct real numbers , then the determinant De...

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  4. The value of the determinant : Delta=|(a^2,a,1),(cosnx,cos(n+1)x,co...

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  5. If alpha, beta and gamma are real numbers, then : Delta=|(1,cos(beta...

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  6. If sin2x=1 , then |(0,cosx,-sinx),(sinx,0,cosx),(cosx,sinx,0)| equals...

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  7. If Deltar= |[2r-1, mCr,1],[m^2-1,2^m,m+1],[m^2+m+1,2^m+1,m+2]|, then s...

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  8. The value of theta satisfying : |(sin3theta,-2,3),(cos2theta,8,-7),(...

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  9. Let f(x)=|(cosx,sinx,cosx),(cos2x,sin2x,2cos2x),(cos3x,sin3x,3cos3x)| ...

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  10. If the system of equations x+ay+az=0 , bx+y+bz=0 , cx +cy +z=0 where a...

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  11. Delta1=|(x,b,a),(a,x,b),(a,a,x)|,Delta2=|(x,b),(a,x)| are the given d...

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  12. If p+q+r=a+b+c=0 , then the value of : |(pa,qb,rc),(qc,ra,pb),(rb,pc...

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  13. |(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)+b^(2),ab,a+b)|=

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  14. If one of the roots of the equation |(7,6,x),(2,x,2),(x,3,7)|=0 is : ...

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  15. If a,b,c gt 0 and x,y,z , in R then the determinant : |((a^x+a^(-x)...

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  16. If a^2+b^2+c^2=0 and |(b^2+c^2,ab,ac),(ab,c^2+a^2,bc),(ac,bc,a^2+b^2)|...

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  17. If plamda^(4)+qlamda^3+rlamda^2+slamda+t =|(lamda^3+3lamda,lamda-1,lam...

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  18. The value of the determinant : |(1,cos(beta-alpha),cos(gamma-alpha)),(...

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  19. The sum of two non - integral roots of |(x,2,5),(3,x,3),(5,4,x)|=0 is ...

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  20. If Delta1=|(1,1,1),(a,b,c),(a^2,b^2,c^2)|, Delta2=|(1,bc,a),(1,ca,b),(...

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