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Which of the following is and determinat...

Which of the following is and determinate form `(lim)_(xvec1)(x^3-1)/(x-1)` b. `(lim)_(xvec0)(1+x)^(1//x)` c. `(lim)_(xvec1)(1/(x^2-1)-1/(x-1))` d. `(lim)_(xvec0)(|x|)^(s in R)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Find the following: lim(xrarroo)(x^2-3x+2)/(x^3+3x)

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  2. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

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  3. Which of the following is and determinate form (lim)(xvec1)(x^3-1)/(x-...

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  4. Which of the following holds goods for any tiangle ABC, a,b,c are the ...

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  5. Evaluate the following: lim(xrarr1)(x^3-1)/(x^2-6x+5)

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  6. int(dx)/((x^2+4x+5)^2)i se q u a lto 1/2[tan^(-1)(x+1)+("x"+2)/("x"^...

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  7. In a triangle, with usual notations, the length of the bisector of ang...

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  8. Evaluate the following: lim(xto1/3)(3x^2+5x-2)/(9x^2-1)

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  9. If varphi(x)=int(1/x)^(sqrt(x))sin(t^2)dt then varphi^(prime)(1)= ...

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  10. In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdo...

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  11. An ordinary cubical dice having six faces marked with alphabets A, ...

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  12. If f(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4) then f^(prime)(2) has th...

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  13. Three equal circles each of radius r touch one another. The radius of ...

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  14. Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x...

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  15. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

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  16. In a triangle PQR, P is the largest angle and cosP=1/3. Further the in...

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  17. ((lim)(xvecoo)int0x(tan^(-1)t)^2dt)/(sqrt(x^2+1))h a st h ev a l u e ...

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  18. The inverse of the matrix A=|(1,1,1),(1,omega,omega^2),(1,omega^2,omeg...

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  19. The number of odd divisor of the number N=2^(10). 3^5 .7^2, are 16 ...

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  20. The equation |x+1|^(log)(("x"+1))(3+2-x^(2))=(x-3)|x| has a. unique s...

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