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lim(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)...

`lim_(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)`

A

does not exist

B

equal `log_(e)(pi^(2))`

C

equals 1

D

lies between 10 and 11

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. Let p,q,r be the sides opposite to the angles P,Q, R respectively in a...

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  2. Let P (2,-3), Q(-2, 1) be the vertices of the triangle PQR. If the cen...

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  3. lim(x to 0) (pi^(x)-1)/(sqrt(1+x)-1)

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  4. If f is a real- valued differentiable function such that f(x)f'(x) lt ...

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  5. Rolle's theorem is applicable in the interval [-2,] for the function

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  6. The solution of 25(d^(2)y)/(dx^(2))-10(dy)/(dx)+y=0, y(0)=1, y(1)=2e^(...

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  7. Let P be the midpoint of a chord joining the vertex of the parabola y^...

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  8. The line x=2y intersects the ellipse (x^(2))/(4)+y^(2)=1 at the points...

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  9. The eccentric angle in the first quadrant of a point on the ellipse (x...

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  10. The transverse axis of hyperbola is along the x-axis and its length is...

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  11. A point moves in such a way that the difference of its distance from t...

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  12. The number of integer values of m, for which the x-coordinates of the ...

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  13. If a straight line passes through the point (alpha, beta) and the port...

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  14. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

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  15. Examine the consistency of the system of equations x+ y +z=1 2x+...

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  16. Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(...

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  17. Let p,q,r be the altitudes of a triangle with area S and perimeter 2t....

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  18. Let C(1) and C(2) denote the centres of the circles x^(2)+y^(2)=4 and ...

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  19. A straight line through the point of intersection of the lines x+2y+4=...

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  20. Let P and Q be the points on the parabola y^(2)=4x so that the lines ...

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