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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 least one root in `[0,1]` (b) at least one root in `[-1/2,1/2]` (c) at least one root in `[-1,0]` (d) at least two roots in `[0,2]`

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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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 a \ a n d \ b if the system of equation a^2x-b y=a...

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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)=|[cosx,x,1],[2sinx,x^2,2x],[tanx,x,1]| . Then value of lim(x->0)(...

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  13. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

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

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  15. Prove that the value of each the following determinants is zero: |a...

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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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  18. Let |(x,2,x),(x^2,x,6),(x,x,6)|=A x^4+B x^3+C x^2+D x+Edot Then the va...

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