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  • Question 1
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    The sum to the infinity of the series 1 + 2/3 + 6/3^2 + 10/3^3 + 14/3^4 + ......... is

  • Question 2
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    Questions are Assertion−Reason type questions.

    Each of these questions contains two statements : Statement − 1 (Assertion) and Statement−2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice. Statement − 1: For every natural number n ≥ 2, 1/√1 + 1/√2 + .....+ 1/√n > √n. Statement −2: For every natural number n ≥ 2, √n(n+ 1) < n + 1

  • Question 3
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    The projections of a vector on the three coordinate axis are 6, - 3, 2 respectively. The directioncosines of the vector are

  • Question 4
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    Questions are Assertion−Reason type questions.

    Each of these questions contains two statements : Statement − 1 (Assertion) and Statement−2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.

  • Question 5
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    The quadratic equations x^2 – 6x + a = 0 and x^2 – cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4 : 3. Then the common root is

  • Question 6
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  • Question 7
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    The line passing through the points (5, 1, a) and (3, b, 1) crosses the yz−plane at the point(0, 17/2, -13/2). Then

  • Question 8
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  • Question 9
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    If the roots of the equation bx^2 + cx + a = 0 be imaginary, then for all real values of x, the expression 3b^2 x^2 + 6bcx + 2c^2 is

  • Question 10
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    Given P(x) = x^4 + ax^3 + bx^2 + cx+ d such that x = 0 is the only real root of P'(x) = 0 . If P(-1) < P(1) , then in the interval [−1, 1]

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