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If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(...

If `int_0^a(dx)/(sqrt(x+a)+sqrt(x))=int_0^(pi/8)(2tantheta)/(sin2theta)dtheta,` then value of `' a '` is a equal to`(a >0)` `3/4` (b) `pi/4` (c) `(3pi)/4` (d) `9/(16)`

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If int_(0)^(a)(dx)/(sqrt(x+a)+sqrt(x))=int_(0)^((pi)/(3))(2tan theta)/(sin2 theta)d theta, then value of a' is a equal to (a>0)(3)/(4)( b) (pi)/(4)(c)(3 pi)/(4) (d) (9)/(16)

If I=int_0^a (dx)/(sqrt(x+a)+sqrtx)=int_0^(pi/8) (2tantheta)/(sin2theta) d(theta),(where a>0) (A) a=3/4 (B) cot((3pi)/8) (C) tan((3pi)/8) (D) tan(pi/8)

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RESONANCE DPP-JEE MAINS-All Questions
  1. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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  2. Let the sequence a1,a2,a3, ,an from an A.P. Then the value of a1 2-a2 ...

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  3. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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  4. The sum of the first three terms of an A.P. is 9 and the sum of their ...

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  5. int("sin"2"x")/(s in5x s in3x)dx 1/3ln|sin3x|+1/5ln|sin5x|+c b. 1/3l...

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  6. A postman delivered daily for 42 days 4 more latters each day than on ...

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  7. If int0^1tan^(-1)xdx=alpha,t h e nint0^(pi/4)tan^(-1)((2cos^2theta)/(...

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  8. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

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  9. The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,cosx...

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  10. In a triangle A B C , right angled at B , the inradius is (A B+B C-A C...

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  11. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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  12. If in a A B C ,(cos A)/a=(cos B)/b=(cos C)/c , then the triangle is: ...

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  13. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

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  14. Evaluate the following inte^x(1-cot x+cot^2x)dx

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  15. If for all real numbers y ,[y] is the greatest integer less than or e...

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  16. int(1)/(sqrt(2x^(2)+3x-2))dx

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  17. If the value of the integral int1^2e^(x^2)dx is alpha, then the value ...

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  18. The solution of the differential equation (dy)/(dx) = (x(2 log x...

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  19. If int(2x+3)/(x^2-5x+6)dx=9ln|x-3|-7ln|x-2|+A ,t h e nA is 5ln(x-2)+...

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  20. Normals are drawn from a point P with slopes m1,m2 and m3 are drawn fr...

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