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Let the sequence a1,a2,a3, ,an from an A...

Let the sequence `a_1,a_2,a_3, ,a_n` from an A.P. Then the value of `a1 2-a2 2+a3 2-+a2n-1 2-a2n2` is `(2n)/(n-1)(a2n2-a1 2)` (b) `n/(2n-1)(a1 2-a2n2)` `n/(n+1)(a1 2-a2n2)` (d) `n/(n-1)(a1 2+a2n2)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  2. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. 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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