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"If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t...

`"If" I=int_0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)_(xvec0)I=1,` then `a` is equal to : 1 (2) 2 (3) 4 (4) 0 (5) 3

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. In a geometric progression with common ratio q, the sum of the firs...

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  2. In a set of real numbers a relation R is defined as xRy such tha...

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  3. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

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  4. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))d...

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  5. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

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  6. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

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  7. If the value of the definite integral int ^(-1) ^(1) cos ^(-1) ((1)/(s...

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  8. The real value of k so that the lines x+k y+2=0 3x+2y+1=0 2x+y+2=0" ...

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  9. If 9(27)^(x^2+y+z)+9(27)^(x+y+z^2)+9(27)^(x+y^2+z)=11 then find the nu...

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  10. 2sin^(2)theta + 3 costheta =0

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  11. Evaluate: int(dx)/((x+1)sqrt(1+x-x^(2))

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  12. Two complex numbers z1a n dz2 have relation R such that z1Rz2, arg(z1...

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  13. Let f(x) be a non-constant twice differentiable function defined on (-...

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  14. Consider quadratic equations x^(2)-ax+b=0……….(i) and x^(2)+px+q=0……….(...

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  15. Number of points where the function f(x)=|x^2-3x+2|+"cos"|x| is not di...

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  16. Let f(x) be an onto function defined from [0, 2] to [3, 5] . hich of...

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  17. int0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

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  18. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))...

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  19. A particle moves along the parabola y=x^(2) in the first quadrant in s...

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  20. The area bounded by y=3-|3-x| and y=(6)/(|x+1|) is

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