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  • Question 3
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    The equation of a circle touching the coordinate axes and the line x cosα + y sinα = 2 is x2 + y2 – 2gx + 2gy + g2 = 0, where g is equal to

  • Question 5
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    Suppose a, b, and c are distinct real numbers such that a, 2b, 3c are in AP and a, b, c are in GP. Then, which of the following can be the common ratio of the GP

  • Question 6
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    Let S = (x – 1)10 + (x – 1)9 (x + 1) + (x – 1)8 (x + 1)2 + …….+ (x + 1)10

    Which of the following is a constant term in the expansion of S?

  • Question 7
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    (1) f(x) has one point of inflexion.

    (2) g(x) has one point of inflexion.

    (3) f(x) has one point of local minima.

    (4) g(x) has one point of local maxima.

    Which one of the following is correct regarding the above statements?

  • Question 8
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  • Question 9
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    The coefficient of xk in the expansion of E = 1 + (1 + x) + (1 + x)2 + … + (1 + x)n is

  • Question 10
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