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The value of 'p' for which the sum of t...

The value of 'p' for which the sum of the square of the roots of `2x^2-2(p-2)x-p-1=0` is least, is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Evaluate of the following limit: (lim)(x->0)(e^x-e^(-x)-2x)/(x^3)

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  2. If int(-1)^(4)f(x)dx=4 and int(2)^(4)(3-f(x))dx=7, then find the value...

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  3. The value of 'p' for which the sum of the square of the roots of 2x^...

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  4. In a "Delta"A B C , let a ,b , and c denote the length of sides opp...

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  5. The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^...

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  6. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

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  7. Let matrix A=[(1, 2, 3), (0, 5, 4), (0, 3, 2)] and A^3 -8A^2 + alphaA ...

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  8. Let R be the real line. Consider the following subsets of the plane ...

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  9. Let f(x)=sinx ,g(x)=cosx , then which of the following statement is ...

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  10. Let omega ne 1 be a complex cube root of unity. If ( 4 + ...

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  11. Let U" "=" "{1," "2," "3," "4," "5," "6," "7," "8," "9," "10} and A" "...

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  12. A curve y = (x) which passes through (4,0) satisfy the differential ...

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  13. The coefficient of x^3 in the expansion of (1+2x+3x^2)^(10) is - (1)...

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  14. if f(x) is differentiable function such that f(1) = sin 1, f (2)= sin ...

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  15. Domain of the function f(x)=sqrt(2-sec^(-1)x) is

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  16. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

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  17. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

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  18. If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

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  19. The asymptotes of the hyperbola x y=h x+k y are x-k=0 and y-h=0 x+h=0...

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  20. A movable parabola touches the x and the y-axes at (1,0)a n d(0,1) . T...

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