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Evaluate the following: lim(xrarrpi/2)(2...

Evaluate the following: `lim_(xrarrpi/2)(2sin x+3)/(3cos x+3)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. Evaluate the following: (lim)(x->0^+)xsin1//x

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  2. If z=1+it h e nz^(10) reduces to: A purely imaginary number An imagina...

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  3. Evaluate the following: lim(xrarrpi/2)(2sin x+3)/(3cos x+3)

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  4. Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....

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  5. In a triangle ABC , the line joining the circumcentre and incentre is ...

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  6. Find the limits (i) (lim)(x""->1)[(x^2+1)/(x+100)] (ii) (lim)(x...

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  7. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^3dot(d^2y)...

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  8. In acute angled triangle A B C ,A D is the altitude. Circle drawn with...

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  9. Find the following: lim(xrarr0^+)(1+{x})^(1//x)

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  10. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

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  11. Find the following: lim(xrarr0^+)({x})^(1//x)

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  12. Find the following: lim(xrarroo)(x^2-3x+2)/(x^3+3x)

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

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

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

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

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

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

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

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