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Mathematics Test 1

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    Let a and b be two unit vectors. If the vectors c = a + 2b and d = 5a – 4b are perpendicular to each other, then the angle between a and b is

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    The length of the diameter of the circle which touches the X-axis at the point (1, 0) and passes through the point (2, 3) is

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    If 100 times the 100th term of an AP with non-zero common difference equals the 50 times its 50th term, then the 150th term of this AP is

  • Question 4
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    Statement I The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + ... + (361 + 380 + 400) is 8000.

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