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If P(x)=a x^2+b x+ca m dQ(x)=-a x^2+dx+c...

If `P(x)=a x^2+b x+ca m dQ(x)=-a x^2+dx+c ,a c!=0,` then the equation `P(x)dotQ(x)=0` has a. exactly two real roots b. Atleast two real roots c. exactly four real roots d. no real roots

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RESONANCE DPP-JEE MAINS-All Questions
  1. The number of integral values of 'm' less than 50, so that the roots o...

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  2. The graph of function f1(x)={1,ifxlt=0x^2+1,if0<x<2,f2(x)=(log)(1/2)(x...

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  3. If P(x)=a x^2+b x+ca m dQ(x)=-a x^2+dx+c ,a c!=0, then the equation P(...

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  4. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

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  5. 2+3/(x+1)>2/x

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  6. Solution set of inequality ((e^x-1)(2x-3)(x^2+x+2))/((sinx-2)(x+1)^2x)...

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  7. The complete solution set of the inequation sqrt(x+8)<2-x , is [-18 ,-...

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  8. (x^4+x^2+1)/(x^2-4x-5)<0

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  9. (x^2-1)/(x^2+x+1)<1

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  10. 1<(3x^2-7x+8)/(x^2+1)lt=2

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  11. (x^2-x-1)(x^2-x-7)<-5

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  12. (x^2-1)/(2x+5)<3

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  13. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 The least value of x s...

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  14. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of composite ...

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  15. Let f(x)=[9^x-3^x+1] for all x in (-oo, 1), then the range of f(x) is,...

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  16. Consider the equation: 2^(|x+1|)-2^x=|2^x-1|+1 Number of integers les...

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  17. Let g: R to R be given by g(x)=3 +4x If g^(n) (x)=gogo ....og (x)" t...

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  18. The set of all values of ' x ' which satisfies the inequation |1-(|x|)...

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  19. Consider the function f(x)=(.^(x+1)C(2x-8))(.^(2x-8)C(x+1)) Statement...

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  20. If Pa n dQ are sum and product respectively of all real values of x ...

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