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  • Question 1
    4 / -1

    If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line  is αx + βy + γz = 24, then α + β + γ is equal to :

  • Question 2
    4 / -1

    If a, b, c, d ∈ R+ and a, b, c, d are in H.P., then

  • Question 3
    4 / -1

    If x1x2x3 = 2.5.72, then the number of solution set for (x1, x2, x3) where xi ϵ N, xi > 1 is

  • Question 4
    4 / -1

    Number of points having position vector aî + bĵ + ck̂, where a, b, c ϵ {1, 2, 3, 4, 5} such that 2a + 3b + 5c is divisible by 4 is

  • Question 5
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  • Question 6
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    Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be 1/2 and probability of occurrence of 0 at the odd place be 1/3 . Then the probability that '10' is followed by ‘01' is equal to :

  • Question 7
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  • Question 8
    4 / -1

    Let the system of linear equations

    4x + λy + 2z = 0

    2x − y + z = 0

    μx + 2y + 3z = 0, λ, μ ∈ R.

    has a nontrivial solution. Then which of the following is true ?

  • Question 9
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  • Question 10
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