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Mathematics Test - 22

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Mathematics Test - 22
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    The real number k for which the equation, 2x^3 + 3x + k = 0 has two distinct real roots in [0, 1]
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    If the line 2x + y = k passes through the point which divides the line segment joining the points (1, 1) and (2, 4) in the ratio 3 : 2, then k equals
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    The circle passing through (1, −2) and touching the axis of x at (3, 0) also passes through the point
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    The area (in square units) bounded by the curves y = √x, 2y - x + 3 = 0 , x-axis, and lying in the first quadrant is
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    In a ∆PQR, if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P = 1, then the angle R is equal to
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    If z ≠ 1 and z^2 /(z −1) is real, then the point represented by the complex number z lies
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    A ray of light along x + √3y = √3 gets reflected upon reaching x-axis, the equation of the reflected rays is
  • Question 10
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    A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is
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