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If f(x)=a+b x+c x^2AAa ,b ,c in R and a...

If `f(x)=a+b x+c x^2AAa ,b ,c in R` and `a ,b ,c` are distinct, then value of `|a b c b c a c a b|` is (where `omega&omega^2` are complex cube roots of unity) `f(1)f(omega)f(omega^2)` (b) `-f(omega)f(omega^2)` `-f(1)f(omega)f(omega^2)` (d) `f(omega)f(omega^2)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. If a^2+b^2+c^2+a b+b c+c alt=0AAa ,b ,c in R , then value of the dete...

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  2. Find the minimum value of (x1-x2)^2+((x1^2)/20-sqrt((17-x2)(x2-13)))^...

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  3. If f(x)=a+b x+c x^2AAa ,b ,c in R and a ,b ,c are distinct, then valu...

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  4. The product of the roots of the equation whose roots are greater by un...

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  5. The number of integral points on the hyperbola x^2-y^2= (2000)^2 is (a...

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  6. If the graphs of the functionsy= log (e)x and y = ax intersect at exac...

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  7. Draw the graphs of y=x-x/(|x|)

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  8. Let f(x) be a differentiable function on [0,8] such that f(1)=3, f(2)=...

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  9. if Sn=1/(3!)+5/(4!)+11/(5!)+19/(6!)+..................tn then:

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  10. If f(x)=int0^1(dt)/(1+|x-t|),t h e nf^(prime)(1/2)i se q u a lto 0 (b...

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  11. If f(x)a n dg(x) are two positive and increasing functions, then which...

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  12. Consider all functions f : {1, 2, 3,4} -> {1, 2, 3,4} which are one-o...

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  13. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

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  14. The distance between two points P and Q is d and the length of their p...

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  15. Evaluate lim(n->oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

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  16. If f(x)={1\ \ \ ,\ \ \ if\ xlt=3a x+b\ \ \ ,\ \ \ if\ 3<x<5 7\ \ \ ,\ ...

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  17. The reflection of the point vec a in the plane vec rdot vec n=q ...

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  18. The orthogonal projection of vec a\ on\ vec b is (( vec adot vec b) ...

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  19. If the expression cos(x-(3pi)/2)+sing((3pi)/2+x)+sin(32pi+x)-18cos(19...

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  20. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

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