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If I1=int0^1(1+x^8)/(1+x^4)dxa n dI2=in...

If `I_1=int_0^1(1+x^8)/(1+x^4)dxa n dI_2=int_0^1(1+x^9)/(1+x^3)dx ,"t h e n"` `I_2

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Let I_1=int_0^1 e^x/(1+x)dx and I_2=int_0^1(x^2e^(x^2))/(2-x^3)dx Statement-1: I_1/I_2=3e Statement-2: int_a^b f(x)dx=int_a^b f(a+b-x)dx (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Evaluate the following integral: int0^(pi//4)(s in x+cosx)/(3+s in2x)d...

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  2. In an equilateral triangle show that the in-radius and the circum-radi...

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  3. If I1=int0^1(1+x^8)/(1+x^4)dxa n dI2=int0^1(1+x^9)/(1+x^3)dx ,"t h e ...

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  4. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

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  5. Find a continuous function f, where (x^(4)-4x^(2))lef (x) le (2x^(2)-x...

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  6. Let J=int (-1) ^(2) (cot ^(-1) ""(1)/(x )+ cot ^(-1) x ) dx, K =int (-...

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  7. If In=int0^(pi//4)tan^("n")x dx , prove that In+I(n-2)=1/(n+1)dot

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  8. Twenty coupons are numbered 1,2,3......, 20 respectively. Four coup...

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  9. If A is a square matrix of order 3, then |(A-A^T)^(105)| is equal to ...

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  10. The mean of the data set comprising of 16 observation is 16. If one ...

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  11. If N=2^(n-1).(2^n-1) where 2^n-1 is a prime, then the sum of the all ...

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  12. The value of int0^(pi/4) (e^(1/(cos^2x)).sinx)/(cos^3 x)dx equals ...

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  13. If z=sqrt(3)-2+i , then principal value of argument z is (where i=sqrt...

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  14. If 3A=[-1-2-2 2 1-2x-2y] such that AA^T=I , then which of the followin...

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  15. A man throws a fair coin number of times and gets 2 points for each he...

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  16. The solution of the equation sin^3x+sinxcosx+cos^3x=1 is (n∈N) (a)2np...

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  17. underset(x to0)(lim)((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 then...

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  18. If sin^(3)x cos3x+cos^(3)x sin 3x=3//8, then the value of sin 4x is

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  19. Number of four digit number between 5000 and 6000 such that digit a...

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  20. In a square matrix A of order 3 the elements a(ij) 's are the sum of...

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