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If the cubic polynomials x^3+a x^2+11 x+...

If the cubic polynomials `x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8` may have a common factor of the form `x^2+p x+q ,` then `(a+p=b+q` (b) `a p

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RESONANCE DPP-JEE MAINS-All Questions
  1. Solve |(x^2-5x+4)/(x^2-4)|<=1

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  2. A square matrix B is said to be an orthogonal matrix of order n if BB^...

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  3. If the cubic polynomials x^3+a x^2+11 x+6a n dx^3+b x^2+14 x+8 may hav...

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  4. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

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  5. The number of integral values of 'm' less than 50, so that the roots o...

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  6. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

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  7. Find the set of values of 'a', for which the expression y=(ax^2+6x-8...

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  8. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

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  9. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

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  10. Prove that: sin(pi/14)sin((3pi)/14)sin((5pi)/14)sin((7pi)/14)sin((9pi...

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  11. If p,q are the roots of the quadratic equation x^2 + 2bx + c = 0, pro...

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  12. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

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  13. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

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  14. If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...

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  15. Number of solutions of the simultaneous equations |x| + |y|=3 and sin ...

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  16. A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...

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  17. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

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  18. If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...

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  19. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

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  20. The number of four-digit numbers that can be made with the digits 1...

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