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If a , b , c are distinct, then the valu...

If `a , b , c` are distinct, then the value of `x` satisfying `|0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|=0i s` c (b) a (c) b (d) 0

A

c

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a

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D

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Verified by Experts

The correct Answer is:
D

For x = 0, we observe that the LHS of the given equation reduces to the determinant of a skew-symmetric matrix of odd order which is always zero. Hence, `x = 0` is a solution of the given equation
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OBJECTIVE RD SHARMA ENGLISH-DETERMINANTS-Section I - Solved Mcqs
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  2. The value of the determinant |(sintheta, costheta, sin2theta) , (sin(t...

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  3. If a , b , c are distinct, then the value of x satisfying |0x^2-a x^3-...

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  4. If the determinant |(a ,b,2aalpha+3b),(b, c,2balpha+3c),(2aalpha+3b,2b...

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  5. if the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4c...

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  6. If alpha is a non-real cube root of -2, then the value of |(1,2 alpha,...

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  7. The value of the determinant Delta = |(cos (alpha + beta),- sin (alp...

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  8. If omega is a non-real cube root of unity and n is not a multiple o...

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  9. If omega is a non-real cube root of unity, then Delta = |(a(1) + b(1) ...

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  10. If Delta(r) = |(1,r,2^(r)),(2,n,n^(2)),(n,(n(n+1))/(2),2^(n+1))|, then...

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  11. If Delta(r) = |(2^(r -1),((r +1)!)/((1 + 1//r)),2r),(a,b,c),(2^(n) -1,...

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  12. The value of the determinant Delta = |(1 + a(1) b(1),1 + a(1) b(2),1 +...

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  13. If a,b,c are comples number and z=|{:(,0,-b,-c),(,bar(b),0,-a),(,bar(c...

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  14. The value of the determinant Delta = |(sin 2 alpha,sin (alpha + beta),...

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  15. If A, B and C denote the angles of a triangle, then Delta = |(-1,cos...

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  16. If X,Y and Z are opositive number such that Y and Z have respectively ...

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

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  18. If C = 2 cos theta, then the value of the determinant Delta = |(C,1,0)...

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  19. If x^a y^b=e^m , x^c y^d=e^n ,Delta1=|(m,b),(n,d)|,and Delta2 =|(a,m),...

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  20. If s=(a+b+c),then value of |{:(s+c,a,b),(c,s+a,b),(c,a,s+b):}|is

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