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Let a ,b , c in R such that no two of t...

Let `a ,b , c in R` such that no two of them are equal and satisfy `|(2a, b, c),( b, c,2a), (c, 2a, b)|=0,` then equation `24 a x^2+8b x+4c=0` has (a) at last one root in `[0,1]` (b) at last one root in `[-1/2,1/2]` (c) at last one root in `[-1,0]` (d) at last two roots in `[0,2]`

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CENGAGE-DETERMINANTS-All Questions
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  3. Let a ,b , c in R such that no two of them are equal and satisfy |(2a...

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  4. Solve by Cramers rule x+y+z=6 x-y+z=2 3x+2y-4z=-5

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  5. The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c...

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  6. Find the value of aa n db if the system of equation a^2x-b y=a^2-ba...

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  7. If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...

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  8. f(x)=|cos xx1 2sinxx^2 2xtanxx1| . Then value of (lim)(xvec0)(f(x))/x ...

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  9. If the system of linear equation x + 2ay + az = 0, x + 3by + bz = 0, x...

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  10. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

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  11. If |a^2+lambda^2a b+clambdac a-blambdaa b-clambdab^2+lambda^2b c+...

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  12. Value of |1+x1 1+x1x1+x1x^2 1+x2 1+x2x1+x2x^2 1+x3 1+x3x1+x3x^2| depen...

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  13. If (x)=|alpha+xtheta+xlambda+xbeta+xvarphi+xmu+xgamma+xpsi+x v+x| show...

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  14. The value of determinant |b c-a^2a c-b^2a b-c^2a c-b^2a b-c^2b c-a^2a ...

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  15. The value of the determinant (a1-b1)^2(a1- ...

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  16. If l1^2+m1^2+n1^2=1 etc., and l1 l2+m1 m2+n1 n2 = 0, etc. and Delta...

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  17. Integrate (sinx)/((sinx-cosx))dx=?

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  18. The value of determinant |[ ^n C(r-1), ^n Cr, (r+1)^(n+2)C(r+1)],[ ^n...

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  19. Let |{:(x,,2,,x),(x^(2),,x,,6),(x,,x,,6):}|=Ax^(4) +Bx^(3)+Cx^(2)+Dx+E...

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  20. Let a ,b , c be the real numbers. The following system of equations in...

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