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Find all the value of m for which the eq...

Find all the value of m for which the equation `sin^2x-(m-3) sinx +m=0` has real roots

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ALLEN -TEST PAPER-MATHS
  1. Let a point P lies inside an equilateral triangle ABC such that its...

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  2. If F(x)=Ax^(2)+Bx+C,and F(x) is integer when x is integer then

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  3. Find all the value of m for which the equation sin^2x-(m-3) sinx +m=0 ...

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  4. If x(1),x(2) are two solutions of x^(lnx^(2) )=e^(18) then product o...

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  5. sum(k=0)^5(1)/(sin[(K+1)theta]sin[(K+2)theta]) can be equal to

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  6. Ifx^(2)+y^(2)=4 and a^(2)+b^(2)=9 then

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  7. If both roots are less than 3 then 'a' belongs to

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  8. If one root is greater then 3 and other root is less than 1 'a' belong...

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  9. Sum of maximum and minimum values of f(x) is

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  10. Complete set of values of g(x) is

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  11. If logx, logsqrt(6-2x), log(x-1) are in A.P .then value of (x)/(3) is

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  12. The value of (sin 12^(@) . sin 24^(@) sin 48^(@). sin84^(@)) is

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  13. The sum of n terms of an A.P is 715 .If first term is increased by 1, ...

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  14. The value of k for which equations x^(2)+(2k-6)x+7-3k=0 and x^(2)+(2k-...

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  15. If E= ab sin x+bsqrt(1-a^(2)) cos x+c " where" |a|lt 1" and for " a =(...

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  16. The least integral value of lambda for which the expression (lambdax^(...

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  17. If alpha,beta,gamma are roots of x^(3)-5x+4=0 then value of (alpha^3+b...

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  18. The value of | sum(r=0)^(10) cos ((rpi)/(3))|is

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  19. |{:(,"List-I(Species)",,"List-II(Spin only Magnetic Moment)"),((P),Mn^...

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  20. |{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...

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