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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-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 that |x|+...

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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)))...

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

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  8. int(dx)/((1+x)sqrt(1+x-x^2)) dx

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

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  10. Consider quadratic equations x^2-ax+b=0 and x^2+px+q=0 If the above eq...

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

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

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  13. An ellipse (x^2)/(a^2)+(y^2)/(b^2)=1(a > b) passes through the point (...

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

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

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  16. If A B=A ,B A=B then (A+B)^n= (where n in N) (A^2+B^2) (2) (A+B) A...

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  17. If sum(i=1)^5xi^2=40&sum(j=6)^(10)xj^2=20 and mean of x1,x2, ...,x5 ...

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  18. Let P be a point on the ellipse x^2/a^2+y^2/b^2=1 , 0 < b < a and le...

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  19. The roots of the quadratic equation (a+b-2c)x^2-(2a-b-c)x+(a-2b+c)=0 a...

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  20. Coefficient of variation of two distributions are 60 and 70, and th...

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