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If P(x) is a polynomial with integer coe...

If P(x) is a polynomial with integer coefficients such that for 4 distinct integers `a, b, c, d,P(a) = P(b) = P(c) = P(d) = 3`, if `P(e) = 5`, (e is an integer) then 1. e=1 , 2. e=3 , 3. e=4 , 4. No integer value of e

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If the equation |x^2+b x+c|=k has four real roots, then A. b^2-4cgt...

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  3. If P(x) is a polynomial with integer coefficients such that for 4 dist...

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  4. Let x ,y ,z ,t be real numbers x^2+y^2=9, z^2+t^2=4, and xt-y z=6 Th...

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

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  6. If (b^2-4a c)^2(1+4a^2)<64 a^2, a<0 , then maximum value of quadratic ...

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  8. The number of integral value of x satistying sqrt( x^2+10 x-16)ltx-2 ...

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  11. In equation x^4-2x^3+4x^2+6x-21=0 if two its roots are equal in magn...

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  12. If alpha,beta,gamma are the roots of the equation x^3+p x^2+q x+r=0, t...

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  13. Equations x^3+5x^2+p x+q=0a n dx^3+7x^2+p x+r=0 have two roots in com...

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  14. If alpha,beta,gamma are the roots of he euation x^3+4x+1=0, then find ...

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  15. If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that...

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  16. If a ,b ,p ,q are non zero real numbers, then how many comman roots wo...

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  17. If x^2+p x+q=0a n dx^2+q x+p=0,(p!=q) have a common roots, show that ...

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  18. a,b,c are positive real numbers forming a G.P. ILf ax^2+2bx+c=0...

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  19. If equations x^2+a x+12=0. x^2+b x+15=0a n dx^2+(a+b)x+36=0, have a co...

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  20. If x is real and the roots of the equation a x^2+b x+c=0 are imaginary...

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