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  • Question 1
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    The distance between the line r = 2i – 2j + 3k + λ(i – j + 4k) and the plane r · (i + 5j + k) = 5 is

  • Question 2
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    If x2 – 2x + sin2α = 0, then

  • Question 3
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  • Question 4
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  • Question 5
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    If sin7 y = |x3 – x2– 9x + 9| + |x3 – x2 – 4x + 4| + sec2 2y + cos4 y. Then values of x and y are given by

  • Question 6
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  • Question 7
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  • Question 8
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    A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this group including the selection of a Captain (from among these 4 members) for the team. If the team has to include atmost one boy, the number of ways of selecting the team is

  • Question 9
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    It is observed that 25% of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that at least 5 of them will be solved is?

  • Question 10
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