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If the equation x^(5)-10a^(3)x^(2)+b^(4)...

If the equation `x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0` has three equal roots, then

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. 2f(x/2)+3f((2-x)/3)=g(x),0lt=x<3, f^(x)>0; If g(x) is strictly increa...

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  2. Determine the matrices A and B where A + 2B = [(1, 2, 0), (6, -3, 3),...

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  3. If the equation x^(5)-10a^(3)x^(2)+b^(4)x+c^(5)=0 has three equal root...

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  4. If f(x) and g(x) are two polynomilas such that the polynomial h(x)=xf(...

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  5. Let ax+by+c=0 be a variable straight line, where a, b and c are 1^(st)...

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  6. Let f(x , y)=(x-y)/(x+y),x+y!=0, then

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  7. If f(x) be a twice differentiable function from RR rarr RR such that t...

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  8. A,B,C,D are four points in the space and satisfy | vec A B|=3,| vec B ...

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  9. Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x(1), x(2)...

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  12. A complex number z with (Im)(z)=4 and a positive integer n be such tha...

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  13. The function f(x)=x^2e^(-2x),x > 0. If l is maximum value of f(x) find...

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  14. Find the sum of sum(r=1)^n(r^n Cr)/(^n C(r-1) .

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  16. The number of intergral points (x,y)(i.e.,x and y both are intergers) ...

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  17. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

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  18. If y=(1+x)(1+x^2)(1+x^4)(1+x^(2n)), then find (dy)/(dx)a tx=0.

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  19. Using truth tables, prove the following equivalences : (1) ~pvvq-=~(...

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  20. The area of the region bounded by the curve y= 2x -x^(2) and x...

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