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RESONANCE DPP-JEE MAINS-All Questions
- If y=a t^2+2b t+c&t=a x^2+2b x+c , then (d^3y)/(dx^3) equals 24 a^2(a ...
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- If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero ve...
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- If [ vec a vec b vec c]=2 and vec x=2 vec a+3 vec b+ vec c , vec y= v...
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- Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...
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- int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(...
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- Find the integral value of n for which lim(x->0)(cos^2x-cosx-e^xcos...
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- If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...
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- If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...
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- 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...
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- if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...
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- int(sqrt(1+x^2)-x)^n dx
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- The expression [(1+sin(pi/8)+icos(pi/8))/(1+sin(pi/8)-icos(pi/8))]^8 i...
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- if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...
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- The expression in the vector form for the point vec r1 of intersectio...
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- If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...
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- If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...
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- The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...
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- "S o l v e"int0^(pi/2)(cosx)/((1+sinx)(2+sinx))dx
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- If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...
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- The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1...
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