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The area of the region bounded by the cu...

The area of the region bounded by the curve `y= f( x )`, x-axis, and the lines `x=a` and `x=b` where `-oo lt a lt b lt -2` is

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Consider the functions defined implicitly by the equation y^(3) – 3y + x = 0 on various intervals in the real line. If x in (–infty , –2) cup (2, infty) , the equation implicitly defines a unique real valued differentiable function y = f(x). If x in (–2, 2) , the equation implicitly defines a unique real valued differentiable function y = g(x) satisfying g(0) = 0 The area of the region bounded by the curve y = f(x), the x-axis and the lines x = a and x = b, where – infty lt a lt b lt – 2, is

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A DAS GUPTA-Some New Pattern Problems-Exercise
  1. cosider the lines, L1=(x+1)/3=(y+2)/1=(z+2)/2 L2=(x-2)/1=(y+2)/2=(z-...

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  2. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  3. The area of the region bounded by the curve y= f( x ), x-axis, and the...

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  4. int(-1)^1 g'(x) dx=

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  5. The equation of the circle C with center at (sqrt3,1) is

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  6. The number of 2 x 2 matrices A such that all entries are either 1 or 0...

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  7. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  8. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

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  9. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

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  10. A fair die is tossed repeated until a six is obtained. Let X denote th...

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  11. A fair die is tossed repeatedly until a six obtained. Let X denote the...

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  12. Equation of the common tangent to the circle x^(2)+y^(2)=50 and the pa...

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  13. If the events A and B are mutually exclusive events such that P(A) = (...

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  14. Let s be the sum of all distinct real roots of f(x) and let t=mod(s)Th...

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  15. Tangents are drawn from the point P(3,4) to be the ellipse x^2/9+y^2/...

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  16. The tangents are drawn from the point P(3,4) to the ellipse x^2/9+y^2/...

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  17. Tangents are drawn from the point P(3,4) to the ellipse x^2/9+y^2/4=1 ...

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  18. Match the following (more than one may match with the same).

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  19. Match the following (more than one may match with the same).

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  20. Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those o...

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