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If (m^2-3)x^2+3mx+ 3m+1=0 has roots whic...

If `(m^2-3)x^2+3mx+ 3m+1=0` has roots which are reciprocals of each other, then the value of m equals to

A

4

B

1

C

2

D

none of these

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The correct Answer is:
A
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FIITJEE-QUADRATIC EQUATION & EXPRESSION -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
  1. The number of real solutions of the equation sin (e^x)= 5^x+5^-x

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  2. The equation (x-3)^9+(x-3^2)^9+(x-3^3)^9+.....+(x-3^9)^9=0 has

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  3. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

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  4. The exhaustive set of values of a for which the equation a sin(x+(pi)/...

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  5. If the roots of the equation (a)/(x+a+k)+(b)/(x+b+k)=2 are equal in ma...

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  6. The set of all x in the interval [0, pi] for which 2 sin^(2)x-3 sin x ...

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  7. Let a gt 0, b gt 0 then both roots of the equation ax^(2)+bx+c=0

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  8. The number of positive integral solutions of x^4-y^4=3789108 is 0 b. 1...

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  9. The set of values for which x^(3)+1 ge x^(2)+x is

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  10. If a ,b ,c are distinct positive numbers, then the nature of roots of ...

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  11. If roots of the equation x^2-2ax+a^2+a-3=0 are real and less than 3 t...

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  12. If a(1), a(2), a(3)(a(1)gt 0) are in G.P. with common ratio r, then th...

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  13. Let p(x)=0 be a polynomial equation of the least possible degree, with...

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  14. If alpha and beta are the roots of x^(2)-3px+p^(2)=0 such that alpha^(...

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  15. The number of solutions of the equation n^(-|x|)|m-|x||=1 (where m, n ...

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  16. If (m^2-3)x^2+3mx+ 3m+1=0 has roots which are reciprocals of each othe...

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  17. If the two equation x^(2)-cx+d=0 and x^(2)-ax+b=0 have one common root...

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  18. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

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  19. If one of the roots of the equation 2x^(2)-6x+k=0 is (alpha + 5i)/(2) ...

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  20. For all 'x', x^(2)+2ax+10-3a gt 0, Statement 1 : the interval in wh...

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