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If a >0 and discriminant of a x^2+2b x+...

If `a >0` and discriminant of `a x^2+2b x+c` is negative, then `|[a,b,ax+b],[b,c,bx+c],[ax+b,bx+c,0]|` is `+v e` b. `(a c-b)^2(a x^2+2b x+c)` c. `-v e` d. `0`

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`(2 b)^{2}-4 a c<0`
`4 b^{2}-4 a c<0`
`a c-b^{2}>0`
`a x^{2}+2 b x+c>0` `forall x in R`
...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
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  2. If 1.omega, omega^2 are the roots of unity, then Delta=|(1,omega^n,ome...

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  3. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+...

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  9. Let A=[[1,sintheta,1],[sintheta,1,sintheta],[-1,-sintheta,1]] where 0l...

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  11. If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f...

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  12. If x , y , z are different from zero and [[1+x,1, 1],[ 1 ,1+y,1 ],[1 ,...

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  13. The determinant |{:(b^2-ab, b-c, bc-ac), (a b-a^2, a-b, b^2-ab) ,(b c-...

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  15. The maximum value of =[[1, 1, 1],[ 1, 1+sintheta,1],[ 1,1,1+costheta]...

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  16. The value of the determinant [[x,x+y, x+2y],[ x+2y, x,x+y],[ x+y, x+2y...

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  17. Let f(x)=|cosx x 1 2sinx x2xsinx x x| , then (lim)(x->0)(f(x))/(x^2) i...

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  18. If there are two values of a which makes determinant, Delta=|(1,-2,5...

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  19. If Delta=|(a,p,x),(b,q,y),(c,r,z)|=16 then Delta(1)=|(p+x,a+x,a+p),(q+...

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  20. The value of |1 1 1\ ^n C1\ ^(n+2)C1\ ^(n+4)C1\ ^n C2\ ^(n+2)C2\ ^(n+4...

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